54262465920 has 768 divisors, whose sum is σ = 220542523200. Its totient is φ = 12559712256.

The previous prime is 54262465919. The next prime is 54262465931. The reversal of 54262465920 is 2956426245.

54262465920 is a `hidden beast` number, since 5 + 42 + 62 + 465 + 92 + 0 = 666.

It is a super-2 number, since 2×54262465920² (a number of 22 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49644894 + ... + 49645986.

Almost surely, 2^54262465920 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 54262465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110271261600).

54262465920 is an abundant number, since it is smaller than the sum of its proper divisors (166280057280).

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

54262465920 is a wasteful number, since it uses less digits than its factorization.

54262465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 54262465920 in words is "fifty-four billion, two hundred sixty-two million, four hundred sixty-five thousand, nine hundred twenty".