54662820000 has 240 divisors, whose sum is σ = 189855876672. Its totient is φ = 13719040000.

The previous prime is 54662819999. The next prime is 54662820011. The reversal of 54662820000 is 2826645.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×54662820000³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 993205 + ... + 1046795.

Almost surely, 2^54662820000 is an apocalyptic number.

54662820000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54662820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94927938336).

54662820000 is an abundant number, since it is smaller than the sum of its proper divisors (135193056672).

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

54662820000 is a wasteful number, since it uses less digits than its factorization.

54662820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53641 (or 53618 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 54662820000 in words is "fifty-four billion, six hundred sixty-two million, eight hundred twenty thousand".