54026761320 has 512 divisors, whose sum is σ = 211274956800. Its totient is φ = 12024308736.

The previous prime is 54026761309. The next prime is 54026761331. The reversal of 54026761320 is 2316762045.

54026761320 is a `hidden beast` number, since 540 + 26 + 7 + 61 + 32 + 0 = 666.

54026761320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54026761309) and next prime (54026761331).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136087362 + ... + 136087758.

It is an arithmetic number, because the mean of its divisors is an integer number (412646400).

Almost surely, 2^54026761320 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 54026761320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105637478400).

54026761320 is an abundant number, since it is smaller than the sum of its proper divisors (157248195480).

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

54026761320 is a wasteful number, since it uses less digits than its factorization.

54026761320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 54026761320 in words is "fifty-four billion, twenty-six million, seven hundred sixty-one thousand, three hundred twenty".