54936526320 has 480 divisors, whose sum is σ = 207356769984. Its totient is φ = 13436928000.

The previous prime is 54936526319. The next prime is 54936526327. The reversal of 54936526320 is 2362563945.

54936526320 is a `hidden beast` number, since 5 + 4 + 9 + 3 + 6 + 5 + 2 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54936526327) 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, 45741720 + ... + 45742920.

Almost surely, 2^54936526320 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 54936526320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103678384992).

54936526320 is an abundant number, since it is smaller than the sum of its proper divisors (152420243664).

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

54936526320 is a wasteful number, since it uses less digits than its factorization.

54936526320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 54936526320 in words is "fifty-four billion, nine hundred thirty-six million, five hundred twenty-six thousand, three hundred twenty".