2523407158272 has 1408 divisors, whose sum is σ = 9448875491328. Its totient is φ = 577555660800.

The previous prime is 2523407158271. The next prime is 2523407158297. The reversal of 2523407158272 is 2728517043252.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is not an unprimeable number, because it can be changed into a prime (2523407158271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9818704768 + ... + 9818705024.

Almost surely, 2^{2523407158272} is an apocalyptic number.

2523407158272 is a gapful number since it is divisible by the number (22) 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 2523407158272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724437745664).

2523407158272 is an abundant number, since it is smaller than the sum of its proper divisors (6925468333056).

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

2523407158272 is a wasteful number, since it uses less digits than its factorization.

2523407158272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 2523407158272 in words is "two trillion, five hundred twenty-three billion, four hundred seven million, one hundred fifty-eight thousand, two hundred seventy-two".