51206453222400 has 2376 divisors, whose sum is σ = 231958111494096. Its totient is φ = 10716630220800.

The previous prime is 51206453222387. The next prime is 51206453222411. The reversal of 51206453222400 is 422235460215.

51206453222400 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 64 + 532 + 22 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7101154795 + ... + 7101162005.

Almost surely, 2^{51206453222400} is an apocalyptic number.

51206453222400 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 51206453222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115979055747048).

51206453222400 is an abundant number, since it is smaller than the sum of its proper divisors (180751658271696).

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

51206453222400 is a wasteful number, since it uses less digits than its factorization.

51206453222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 51206453222400 its reverse (422235460215), we get a palindrome (51628688682615).

The spelling of 51206453222400 in words is "fifty-one trillion, two hundred six billion, four hundred fifty-three million, two hundred twenty-two thousand, four hundred".