51274893600 has 1296 divisors, whose sum is σ = 225064344960. Its totient is φ = 10928332800.

The previous prime is 51274893559. The next prime is 51274893667. The reversal of 51274893600 is 639847215.

51274893600 is a `hidden beast` number, since 512 + 7 + 48 + 93 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×51274893600² (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 215 ways as a sum of consecutive naturals, for example, 576122356 + ... + 576122444.

It is an arithmetic number, because the mean of its divisors is an integer number (173660760).

It is a 1-persistent number, because it is pandigital, but 2⋅51274893600 = 102549787200 is not.

Almost surely, 2^51274893600 is an apocalyptic number.

51274893600 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 51274893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112532172480).

51274893600 is an abundant number, since it is smaller than the sum of its proper divisors (173789451360).

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

51274893600 is a wasteful number, since it uses less digits than its factorization.

51274893600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 51274893600 in words is "fifty-one billion, two hundred seventy-four million, eight hundred ninety-three thousand, six hundred".