57007671334416 has 1120 divisors, whose sum is σ = 189853190903808. Its totient is φ = 16423597532160.

The previous prime is 57007671334403. The next prime is 57007671334477. The reversal of 57007671334416 is 61443317670075.

57007671334416 is a `hidden beast` number, since 5 + 7 + 0 + 0 + 7 + 67 + 133 + 441 + 6 = 666.

It is a super-2 number, since 2×57007671334416² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 34197762415 + ... + 34197764081.

Almost surely, 2^{57007671334416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57007671334416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94926595451904).

57007671334416 is an abundant number, since it is smaller than the sum of its proper divisors (132845519569392).

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

57007671334416 is a wasteful number, since it uses less digits than its factorization.

57007671334416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

It can be divided in two parts, 570076713 and 34416, that added together give a square (570111129 = 23877²).

The spelling of 57007671334416 in words is "fifty-seven trillion, seven billion, six hundred seventy-one million, three hundred thirty-four thousand, four hundred sixteen".