57121848311040 has 360 divisors, whose sum is σ = 204940526851368. Its totient is φ = 15191644815360.

The previous prime is 57121848311039. The next prime is 57121848311107. The reversal of 57121848311040 is 4011384812175.

57121848311040 is a `hidden beast` number, since 5 + 7 + 1 + 2 + 18 + 483 + 110 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5211321940224 + 51910526370816 = 2282832^2 + 7204896^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37934110 + ... + 39411170.

Almost surely, 2^{57121848311040} 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 57121848311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102470263425684).

57121848311040 is an abundant number, since it is smaller than the sum of its proper divisors (147818678540328).

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

57121848311040 is a wasteful number, since it uses less digits than its factorization.

57121848311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477467 (or 1477444 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 57121848311040 in words is "fifty-seven trillion, one hundred twenty-one billion, eight hundred forty-eight million, three hundred eleven thousand, forty".