54866024040960 has 2560 divisors, whose sum is σ = 238636954828800. Its totient is φ = 11775765381120.

The previous prime is 54866024040937. The next prime is 54866024040973. The reversal of 54866024040960 is 6904042066845.

54866024040960 is a `hidden beast` number, since 5 + 4 + 86 + 60 + 2 + 40 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 54866024040897 and 54866024040906.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38556586809 + ... + 38556588231.

It is an arithmetic number, because the mean of its divisors is an integer number (93217560480).

Almost surely, 2^{54866024040960} 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 54866024040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119318477414400).

54866024040960 is an abundant number, since it is smaller than the sum of its proper divisors (183770930787840).

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

54866024040960 is a wasteful number, since it uses less digits than its factorization.

54866024040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 54866024040960 in words is "fifty-four trillion, eight hundred sixty-six billion, twenty-four million, forty thousand, nine hundred sixty".