54939256162560 has 3888 divisors, whose sum is σ = 260450431428096. Its totient is φ = 11047692902400.

The previous prime is 54939256162541. The next prime is 54939256162561. The reversal of 54939256162560 is 6526165293945.

It is a happy number.

54939256162560 is a `hidden beast` number, since 5 + 4 + 9 + 3 + 9 + 2 + 5 + 6 + 1 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54939256162561) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1772234069745 + ... + 1772234069775.

Almost surely, 2^{54939256162560} 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 54939256162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130225215714048).

54939256162560 is an abundant number, since it is smaller than the sum of its proper divisors (205511175265536).

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

54939256162560 is an frugal number, since it uses more digits than its factorization.

54939256162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 54939256162560 in words is "fifty-four trillion, nine hundred thirty-nine billion, two hundred fifty-six million, one hundred sixty-two thousand, five hundred sixty".