52770560662400 has 3456 divisors, whose sum is σ = 183923462073600. Its totient is φ = 14826405888000.

The previous prime is 52770560662297. The next prime is 52770560662409. The reversal of 52770560662400 is 426606507725.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52770560662409) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 865091158370 + ... + 865091158430.

It is an arithmetic number, because the mean of its divisors is an integer number (53218594350).

Almost surely, 2^{52770560662400} is an apocalyptic number.

52770560662400 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 52770560662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91961731036800).

52770560662400 is an abundant number, since it is smaller than the sum of its proper divisors (131152901411200).

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

52770560662400 is a wasteful number, since it uses less digits than its factorization.

52770560662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 50.

The spelling of 52770560662400 in words is "fifty-two trillion, seven hundred seventy billion, five hundred sixty million, six hundred sixty-two thousand, four hundred".