54379952640 has 400 divisors, whose sum is σ = 209764652328. Its totient is φ = 13385170944.

The previous prime is 54379952609. The next prime is 54379952663. The reversal of 54379952640 is 4625997345.

54379952640 is a `hidden beast` number, since 5 + 4 + 3 + 79 + 9 + 526 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50011271424 + 4368681216 = 223632^2 + 66096^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 2685594 + ... + 2705766.

Almost surely, 2^54379952640 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 54379952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104882326164).

54379952640 is an abundant number, since it is smaller than the sum of its proper divisors (155384699688).

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

54379952640 is a wasteful number, since it uses less digits than its factorization.

54379952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20221 (or 20196 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 54379952640 in words is "fifty-four billion, three hundred seventy-nine million, nine hundred fifty-two thousand, six hundred forty".