1057007759472 has 600 divisors, whose sum is σ = 3663796752000. Its totient is φ = 293220829440.

The previous prime is 1057007759413. The next prime is 1057007759567. The reversal of 1057007759472 is 2749577007501.

1057007759472 is a `hidden beast` number, since 1 + 0 + 57 + 0 + 0 + 77 + 59 + 472 = 666.

It is a super-2 number, since 2×1057007759472² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 302086779 + ... + 302090277.

It is an arithmetic number, because the mean of its divisors is an integer number (6106327920).

Almost surely, 2^{1057007759472} is an apocalyptic number.

1057007759472 is a gapful number since it is divisible by the number (12) 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 1057007759472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831898376000).

1057007759472 is an abundant number, since it is smaller than the sum of its proper divisors (2606788992528).

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

1057007759472 is a wasteful number, since it uses less digits than its factorization.

1057007759472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 54.

The spelling of 1057007759472 in words is "one trillion, fifty-seven billion, seven million, seven hundred fifty-nine thousand, four hundred seventy-two".