54625933440 has 768 divisors, whose sum is σ = 216129513600. Its totient is φ = 13098516480.

The previous prime is 54625933429. The next prime is 54625933459. The reversal of 54625933440 is 4433952645.

54625933440 is a `hidden beast` number, since 54 + 6 + 2 + 593 + 3 + 4 + 4 + 0 = 666.

54625933440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×54625933440³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82891831 + ... + 82892489.

Almost surely, 2^54625933440 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 54625933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108064756800).

54625933440 is an abundant number, since it is smaller than the sum of its proper divisors (161503580160).

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

54625933440 is a wasteful number, since it uses less digits than its factorization.

54625933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 54625933440 in words is "fifty-four billion, six hundred twenty-five million, nine hundred thirty-three thousand, four hundred forty".