57062154240 has 1344 divisors, whose sum is σ = 257289117120. Its totient is φ = 12039487488.

The previous prime is 57062154229. The next prime is 57062154241. The reversal of 57062154240 is 4245126075.

It is a happy number.

57062154240 is a `hidden beast` number, since 5 + 7 + 0 + 621 + 5 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57062154195 and 57062154204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57062154241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4389396474 + ... + 4389396486.

It is an arithmetic number, because the mean of its divisors is an integer number (191435355).

Almost surely, 2^57062154240 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 57062154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128644558560).

57062154240 is an abundant number, since it is smaller than the sum of its proper divisors (200226962880).

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

57062154240 is an frugal number, since it uses more digits than its factorization.

57062154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 57062154240 in words is "fifty-seven billion, sixty-two million, one hundred fifty-four thousand, two hundred forty".