57754607040 has 1344 divisors, whose sum is σ = 243551293440. Its totient is φ = 12899450880.

The previous prime is 57754607011. The next prime is 57754607063. The reversal of 57754607040 is 4070645775.

57754607040 is a `hidden beast` number, since 57 + 75 + 460 + 70 + 4 + 0 = 666.

57754607040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 595408272 + ... + 595408368.

It is an arithmetic number, because the mean of its divisors is an integer number (181213760).

Almost surely, 2^57754607040 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 57754607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121775646720).

57754607040 is an abundant number, since it is smaller than the sum of its proper divisors (185796686400).

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

57754607040 is a wasteful number, since it uses less digits than its factorization.

57754607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 57754607040 in words is "fifty-seven billion, seven hundred fifty-four million, six hundred seven thousand, forty".