54901532505600 has 3600 divisors, whose sum is σ = 243011736253440. Its totient is φ = 12185800704000.

The previous prime is 54901532505587. The next prime is 54901532505647. The reversal of 54901532505600 is 650523510945.

54901532505600 is a `hidden beast` number, since 5 + 4 + 9 + 0 + 1 + 5 + 32 + 5 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-3 number, since 3×54901532505600³ (a number of 42 digits) contains 333 as substring.

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 359 ways as a sum of consecutive naturals, for example, 73891698829 + ... + 73891699571.

Almost surely, 2^{54901532505600} is an apocalyptic number.

54901532505600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54901532505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121505868126720).

54901532505600 is an abundant number, since it is smaller than the sum of its proper divisors (188110203747840).

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

54901532505600 is a wasteful number, since it uses less digits than its factorization.

54901532505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 54901532505600 in words is "fifty-four trillion, nine hundred one billion, five hundred thirty-two million, five hundred five thousand, six hundred".