11653630872510 has 128 divisors (see below), whose sum is σ = 32146320752640. Its totient is φ = 2674003881600.

The previous prime is 11653630872421. The next prime is 11653630872539. The reversal of 11653630872510 is 1527803635611.

It is a super-2 number, since 2×11653630872510² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11653630872510.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6073275 + ... + 7758345.

It is an arithmetic number, because the mean of its divisors is an integer number (251143130880).

Almost surely, 2^{11653630872510} is an apocalyptic number.

11653630872510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11653630872510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073160376320).

11653630872510 is an abundant number, since it is smaller than the sum of its proper divisors (20492689880130).

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

11653630872510 is a wasteful number, since it uses less digits than its factorization.

11653630872510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686214.

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 11653630872510 in words is "eleven trillion, six hundred fifty-three billion, six hundred thirty million, eight hundred seventy-two thousand, five hundred ten".