52451274600 has 960 divisors, whose sum is σ = 207415296000. Its totient is φ = 12214540800.

The previous prime is 52451274593. The next prime is 52451274613. The reversal of 52451274600 is 647215425.

It is a happy number.

52451274600 is a `hidden beast` number, since 5 + 2 + 45 + 1 + 2 + 7 + 4 + 600 = 666.

It is a super-2 number, since 2×52451274600² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 219461281 + ... + 219461519.

It is an arithmetic number, because the mean of its divisors is an integer number (216057600).

Almost surely, 2^52451274600 is an apocalyptic number.

52451274600 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 52451274600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103707648000).

52451274600 is an abundant number, since it is smaller than the sum of its proper divisors (154964021400).

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

52451274600 is a wasteful number, since it uses less digits than its factorization.

52451274600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 52451274600 in words is "fifty-two billion, four hundred fifty-one million, two hundred seventy-four thousand, six hundred".