54835365312 has 672 divisors, whose sum is σ = 208594391040. Its totient is φ = 13986846720.

The previous prime is 54835365311. The next prime is 54835365329. The reversal of 54835365312 is 21356353845.

54835365312 is a `hidden beast` number, since 5 + 4 + 83 + 5 + 36 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54835365311) 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, 34122013 + ... + 34123619.

It is an arithmetic number, because the mean of its divisors is an integer number (310408320).

Almost surely, 2^54835365312 is an apocalyptic number.

54835365312 is a gapful number since it is divisible by the number (52) 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 54835365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104297195520).

54835365312 is an abundant number, since it is smaller than the sum of its proper divisors (153759025728).

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

54835365312 is a wasteful number, since it uses less digits than its factorization.

54835365312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1663 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 54835365312 in words is "fifty-four billion, eight hundred thirty-five million, three hundred sixty-five thousand, three hundred twelve".