54096537600 has 864 divisors, whose sum is σ = 228980344320. Its totient is φ = 11943936000.

The previous prime is 54096537581. The next prime is 54096537619. The reversal of 54096537600 is 673569045.

54096537600 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 6 + 5 + 37 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (54096537581) and next prime (54096537619).

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

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 71 ways as a sum of consecutive naturals, for example, 99993330 + ... + 99993870.

Almost surely, 2^54096537600 is an apocalyptic number.

54096537600 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 54096537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114490172160).

54096537600 is an abundant number, since it is smaller than the sum of its proper divisors (174883806720).

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

54096537600 is a wasteful number, since it uses less digits than its factorization.

54096537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 54096537600 in words is "fifty-four billion, ninety-six million, five hundred thirty-seven thousand, six hundred".