2013632152560 has 480 divisors, whose sum is σ = 7862431629312. Its totient is φ = 452351692800.

The previous prime is 2013632152547. The next prime is 2013632152561. The reversal of 2013632152560 is 652512363102.

2013632152560 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 632 + 15 + 2 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×2013632152560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013632152561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68473860 + ... + 68503260.

Almost surely, 2^{2013632152560} is an apocalyptic number.

2013632152560 is a gapful number since it is divisible by the number (20) 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 2013632152560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931215814656).

2013632152560 is an abundant number, since it is smaller than the sum of its proper divisors (5848799476752).

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

2013632152560 is a wasteful number, since it uses less digits than its factorization.

2013632152560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29661 (or 29652 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 2013632152560 in words is "two trillion, thirteen billion, six hundred thirty-two million, one hundred fifty-two thousand, five hundred sixty".