52464766919040 has 2880 divisors, whose sum is σ = 231616957572000. Its totient is φ = 11277172408320.

The previous prime is 52464766919027. The next prime is 52464766919063. The reversal of 52464766919040 is 4091966746425.

It is a happy number.

52464766919040 is a `hidden beast` number, since 5 + 2 + 464 + 76 + 69 + 1 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 87587256661 + ... + 87587257259.

Almost surely, 2^{52464766919040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52464766919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115808478786000).

52464766919040 is an abundant number, since it is smaller than the sum of its proper divisors (179152190652960).

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

52464766919040 is a wasteful number, since it uses less digits than its factorization.

52464766919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 52464766919040 in words is "fifty-two trillion, four hundred sixty-four billion, seven hundred sixty-six million, nine hundred nineteen thousand, forty".