54911211264 has 864 divisors, whose sum is σ = 207848309760. Its totient is φ = 13547077632.

The previous prime is 54911211263. The next prime is 54911211281. The reversal of 54911211264 is 46211211945.

It is a super-2 number, since 2×54911211264² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54911211263) 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, 284513952 + ... + 284514144.

Almost surely, 2^54911211264 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 54911211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103924154880).

54911211264 is an abundant number, since it is smaller than the sum of its proper divisors (152937098496).

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

54911211264 is a wasteful number, since it uses less digits than its factorization.

54911211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 54911211264 in words is "fifty-four billion, nine hundred eleven million, two hundred eleven thousand, two hundred sixty-four".