2552653463520 has 96 divisors (see below), whose sum is σ = 8070750485280. Its totient is φ = 678177044480.

The previous prime is 2552653463417. The next prime is 2552653463597. The reversal of 2552653463520 is 253643562552.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2552653463520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9755691 + ... + 10013930.

It is an arithmetic number, because the mean of its divisors is an integer number (84070317555).

Almost surely, 2^{2552653463520} is an apocalyptic number.

2552653463520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552653463520 is an abundant number, since it is smaller than the sum of its proper divisors (5518097021760).

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

2552653463520 is a wasteful number, since it uses less digits than its factorization.

2552653463520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19769908 (or 19769900 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 2552653463520 in words is "two trillion, five hundred fifty-two billion, six hundred fifty-three million, four hundred sixty-three thousand, five hundred twenty".