88780504896000 has 960 divisors, whose sum is σ = 346033490939136. Its totient is φ = 22645370880000.

The previous prime is 88780504895981. The next prime is 88780504896059. The reversal of 88780504896000 is 69840508788.

88780504896000 is a `hidden beast` number, since 88 + 78 + 0 + 5 + 0 + 489 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 357571900 + ... + 357820100.

Almost surely, 2^{88780504896000} is an apocalyptic number.

88780504896000 is a gapful number since it is divisible by the number (80) 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 88780504896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173016745469568).

88780504896000 is an abundant number, since it is smaller than the sum of its proper divisors (257252986043136).

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

88780504896000 is an equidigital number, since it uses as much as digits as its factorization.

88780504896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248272 (or 248234 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 88780504896000 in words is "eighty-eight trillion, seven hundred eighty billion, five hundred four million, eight hundred ninety-six thousand".