13527553572500 has 120 divisors (see below), whose sum is σ = 32485059203520. Its totient is φ = 4886532000000.

The previous prime is 13527553572479. The next prime is 13527553572521. The reversal of 13527553572500 is 527535572531.

It is an interprime number because it is at equal distance from previous prime (13527553572479) and next prime (13527553572521).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2523656 + ... + 5781344.

It is an arithmetic number, because the mean of its divisors is an integer number (270708826696).

Almost surely, 2^{13527553572500} is an apocalyptic number.

13527553572500 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 13527553572500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16242529601760).

13527553572500 is an abundant number, since it is smaller than the sum of its proper divisors (18957505631020).

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

13527553572500 is a wasteful number, since it uses less digits than its factorization.

13527553572500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257875 (or 3257858 counting only the distinct ones).

The product of its (nonzero) digits is 5512500, while the sum is 50.

The spelling of 13527553572500 in words is "thirteen trillion, five hundred twenty-seven billion, five hundred fifty-three million, five hundred seventy-two thousand, five hundred".