57015800978400 has 1728 divisors, whose sum is σ = 230465889239040. Its totient is φ = 13137707520000.

The previous prime is 57015800978371. The next prime is 57015800978429. The reversal of 57015800978400 is 487900851075.

57015800978400 is a `hidden beast` number, since 5 + 70 + 1 + 5 + 80 + 0 + 97 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (57015800978371) and next prime (57015800978429).

It is a super-2 number, since 2×57015800978400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66066976369 + ... + 66066977231.

It is an arithmetic number, because the mean of its divisors is an integer number (133371463680).

Almost surely, 2^{57015800978400} is an apocalyptic number.

57015800978400 is a gapful number since it is divisible by the number (50) 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 57015800978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115232944619520).

57015800978400 is an abundant number, since it is smaller than the sum of its proper divisors (173450088260640).

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

57015800978400 is a wasteful number, since it uses less digits than its factorization.

57015800978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 57015800978400 in words is "fifty-seven trillion, fifteen billion, eight hundred million, nine hundred seventy-eight thousand, four hundred".