57432291840 has 1440 divisors, whose sum is σ = 261494513280. Its totient is φ = 11824496640.

The previous prime is 57432291823. The next prime is 57432291869. The reversal of 57432291840 is 4819223475.

57432291840 is a `hidden beast` number, since 57 + 432 + 2 + 91 + 84 + 0 = 666.

57432291840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 526901706 + ... + 526901814.

It is an arithmetic number, because the mean of its divisors is an integer number (181593412).

Almost surely, 2^57432291840 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 57432291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130747256640).

57432291840 is an abundant number, since it is smaller than the sum of its proper divisors (204062221440).

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

57432291840 is a wasteful number, since it uses less digits than its factorization.

57432291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 57432291840 in words is "fifty-seven billion, four hundred thirty-two million, two hundred ninety-one thousand, eight hundred forty".