52761769344648 has 576 divisors, whose sum is σ = 189492869966400. Its totient is φ = 13122893306880.

The previous prime is 52761769344631. The next prime is 52761769344727. The reversal of 52761769344648 is 84644396716725.

52761769344648 is a `hidden beast` number, since 5 + 2 + 7 + 6 + 1 + 76 + 93 + 4 + 464 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56731143 + ... + 57653673.

It is an arithmetic number, because the mean of its divisors is an integer number (328980677025).

Almost surely, 2^{52761769344648} is an apocalyptic number.

52761769344648 is a gapful number since it is divisible by the number (58) 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 52761769344648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94746434983200).

52761769344648 is an abundant number, since it is smaller than the sum of its proper divisors (136731100621752).

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

52761769344648 is a wasteful number, since it uses less digits than its factorization.

52761769344648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922642 (or 922628 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

The spelling of 52761769344648 in words is "fifty-two trillion, seven hundred sixty-one billion, seven hundred sixty-nine million, three hundred forty-four thousand, six hundred forty-eight".