54195609600 has 1008 divisors, whose sum is σ = 221554517520. Its totient is φ = 13138329600.

The previous prime is 54195609553. The next prime is 54195609613. The reversal of 54195609600 is 690659145.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×54195609600² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4926873595 + ... + 4926873605.

Almost surely, 2^54195609600 is an apocalyptic number.

54195609600 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 54195609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110777258760).

54195609600 is an abundant number, since it is smaller than the sum of its proper divisors (167358907920).

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

54195609600 is an frugal number, since it uses more digits than its factorization.

54195609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 54195609600 in words is "fifty-four billion, one hundred ninety-five million, six hundred nine thousand, six hundred".