54900400320 has 560 divisors, whose sum is σ = 200807104608. Its totient is φ = 14233190400.

The previous prime is 54900400259. The next prime is 54900400361. The reversal of 54900400320 is 2300400945.

It is a super-2 number, since 2×54900400320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175400484 + ... + 175400796.

Almost surely, 2^54900400320 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 54900400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100403552304).

54900400320 is an abundant number, since it is smaller than the sum of its proper divisors (145906704288).

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

54900400320 is a wasteful number, since it uses less digits than its factorization.

54900400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 54900400320 in words is "fifty-four billion, nine hundred million, four hundred thousand, three hundred twenty".