13526494248960 has 3840 divisors, whose sum is σ = 64566566760960. Its totient is φ = 2675441664000.

The previous prime is 13526494248941. The next prime is 13526494248989. The reversal of 13526494248960 is 6984249462531.

13526494248960 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 6 + 4 + 94 + 2 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×13526494248960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 221745807330 + ... + 221745807390.

It is an arithmetic number, because the mean of its divisors is an integer number (16814210094).

Almost surely, 2^{13526494248960} is an apocalyptic number.

13526494248960 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 13526494248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32283283380480).

13526494248960 is an abundant number, since it is smaller than the sum of its proper divisors (51040072512000).

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

13526494248960 is an equidigital number, since it uses as much as digits as its factorization.

13526494248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 13526494248960 in words is "thirteen trillion, five hundred twenty-six billion, four hundred ninety-four million, two hundred forty-eight thousand, nine hundred sixty".