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1080878819328 = 211337111931431
BaseRepresentation
bin11111011101010010110…
…01011110100000000000
310211022221022012010222000
433232221121132200000
5120202114434204303
62144314320144000
7141043120242060
oct17565131364000
93738838163860
101080878819328
11387441a07a40
12155594168000
137ac074bc399
143a459bc73a0
151d1b1e7ada3
hexfba965e800

1080878819328 has 1536 divisors, whose sum is σ = 4347592704000. Its totient is φ = 256794624000.

The previous prime is 1080878819281. The next prime is 1080878819381. The reversal of 1080878819328 is 8239188780801.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2507839273 + ... + 2507839703.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464000).

Almost surely, 21080878819328 is an apocalyptic number.

1080878819328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1080878819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173796352000).

1080878819328 is an abundant number, since it is smaller than the sum of its proper divisors (3266713884672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1080878819328 is a wasteful number, since it uses less digits than its factorization.

1080878819328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 63.

The spelling of 1080878819328 in words is "one trillion, eighty billion, eight hundred seventy-eight million, eight hundred nineteen thousand, three hundred twenty-eight".