52662902673984 has 1008 divisors, whose sum is σ = 163096042185216. Its totient is φ = 14924412518400.

The previous prime is 52662902673917. The next prime is 52662902674027. The reversal of 52662902673984 is 48937620926625.

It is a super-2 number, since 2×52662902673984² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

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, 414668524929 + ... + 414668525055.

It is an arithmetic number, because the mean of its divisors is an integer number (161801629152).

Almost surely, 2^{52662902673984} 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 52662902673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81548021092608).

52662902673984 is an abundant number, since it is smaller than the sum of its proper divisors (110433139511232).

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

52662902673984 is a wasteful number, since it uses less digits than its factorization.

52662902673984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 69.

The spelling of 52662902673984 in words is "fifty-two trillion, six hundred sixty-two billion, nine hundred two million, six hundred seventy-three thousand, nine hundred eighty-four".