52500765081600 has 2280 divisors, whose sum is σ = 218811842148768. Its totient is φ = 12383472844800.

The previous prime is 52500765081571. The next prime is 52500765081643. The reversal of 52500765081600 is 618056700525.

52500765081600 is a `hidden beast` number, since 5 + 2 + 500 + 7 + 6 + 5 + 0 + 81 + 60 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 1418939596782 + ... + 1418939596818.

Almost surely, 2^{52500765081600} is an apocalyptic number.

52500765081600 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 52500765081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109405921074384).

52500765081600 is an abundant number, since it is smaller than the sum of its proper divisors (166311077067168).

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

52500765081600 is an frugal number, since it uses more digits than its factorization.

52500765081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 52500765081600 in words is "fifty-two trillion, five hundred billion, seven hundred sixty-five million, eighty-one thousand, six hundred".