57623454720 has 1056 divisors, whose sum is σ = 231758392320. Its totient is φ = 13129482240.

The previous prime is 57623454703. The next prime is 57623454737. The reversal of 57623454720 is 2745432675.

57623454720 is a `hidden beast` number, since 5 + 76 + 2 + 34 + 547 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57623454703) and next prime (57623454737).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 538536907 + ... + 538537013.

Almost surely, 2^57623454720 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 57623454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115879196160).

57623454720 is an abundant number, since it is smaller than the sum of its proper divisors (174134937600).

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

57623454720 is a wasteful number, since it uses less digits than its factorization.

57623454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 57623454720 in words is "fifty-seven billion, six hundred twenty-three million, four hundred fifty-four thousand, seven hundred twenty".