1054507779360 has 1920 divisors, whose sum is σ = 4753356410880. Its totient is φ = 214614614016.

The previous prime is 1054507779359. The next prime is 1054507779401. The reversal of 1054507779360 is 639777054501.

1054507779360 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 507 + 7 + 79 + 3 + 60 = 666.

It is a super-2 number, since 2×1054507779360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1054507779297 and 1054507779306.

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 319 ways as a sum of consecutive naturals, for example, 2656190682 + ... + 2656191078.

It is an arithmetic number, because the mean of its divisors is an integer number (2475706464).

Almost surely, 2^{1054507779360} is an apocalyptic number.

1054507779360 is a gapful number since it is divisible by the number (10) 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 1054507779360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376678205440).

1054507779360 is an abundant number, since it is smaller than the sum of its proper divisors (3698848631520).

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

1054507779360 is a wasteful number, since it uses less digits than its factorization.

1054507779360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 1054507779360 in words is "one trillion, fifty-four billion, five hundred seven million, seven hundred seventy-nine thousand, three hundred sixty".