13515562540032 has 176 divisors, whose sum is σ = 41200512552192. Its totient is φ = 3858743623680.

The previous prime is 13515562540019. The next prime is 13515562540079. The reversal of 13515562540032 is 23004526551531.

It is a super-2 number, since 2×13515562540032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29036043 + ... + 29497845.

Almost surely, 2^{13515562540032} is an apocalyptic number.

13515562540032 is a gapful number since it is divisible by the number (12) 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 13515562540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20600256276096).

13515562540032 is an abundant number, since it is smaller than the sum of its proper divisors (27684950012160).

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

13515562540032 is a wasteful number, since it uses less digits than its factorization.

13515562540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463194 (or 463176 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 13515562540032 in words is "thirteen trillion, five hundred fifteen billion, five hundred sixty-two million, five hundred forty thousand, thirty-two".