13630972511520 has 2304 divisors, whose sum is σ = 62356210560000. Its totient is φ = 2775334109184.

The previous prime is 13630972511489. The next prime is 13630972511521. The reversal of 13630972511520 is 2511527903631.

13630972511520 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 0 + 9 + 72 + 51 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13630972511521) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7262104822 + ... + 7262106698.

It is an arithmetic number, because the mean of its divisors is an integer number (27064327500).

Almost surely, 2^{13630972511520} is an apocalyptic number.

13630972511520 is a gapful number since it is divisible by the number (10) 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 13630972511520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31178105280000).

13630972511520 is an abundant number, since it is smaller than the sum of its proper divisors (48725238048480).

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

13630972511520 is a wasteful number, since it uses less digits than its factorization.

13630972511520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 13630972511520 in words is "thirteen trillion, six hundred thirty billion, nine hundred seventy-two million, five hundred eleven thousand, five hundred twenty".