51209625600 has 1176 divisors, whose sum is σ = 222042075600. Its totient is φ = 11705057280.

The previous prime is 51209625581. The next prime is 51209625601. The reversal of 51209625600 is 652690215.

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.

51209625600 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 96 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51209625601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7315660797 + ... + 7315660803.

Almost surely, 2^51209625600 is an apocalyptic number.

51209625600 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 51209625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111021037800).

51209625600 is an abundant number, since it is smaller than the sum of its proper divisors (170832450000).

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

51209625600 is an frugal number, since it uses more digits than its factorization.

51209625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 51209625600 in words is "fifty-one billion, two hundred nine million, six hundred twenty-five thousand, six hundred".