51545604096 has 768 divisors, whose sum is σ = 188268948000. Its totient is φ = 13872660480.

The previous prime is 51545604059. The next prime is 51545604101. The reversal of 51545604096 is 69040654515.

51545604096 is a `hidden beast` number, since 5 + 1 + 545 + 60 + 40 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1257209836 + ... + 1257209876.

Almost surely, 2^51545604096 is an apocalyptic number.

51545604096 is a gapful number since it is divisible by the number (56) 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 51545604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94134474000).

51545604096 is an abundant number, since it is smaller than the sum of its proper divisors (136723343904).

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

51545604096 is an equidigital number, since it uses as much as digits as its factorization.

51545604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 51545604096 in words is "fifty-one billion, five hundred forty-five million, six hundred four thousand, ninety-six".