11525069162880 has 4032 divisors, whose sum is σ = 55121956088400. Its totient is φ = 2289007558656.

The previous prime is 11525069162857. The next prime is 11525069162903. The reversal of 11525069162880 is 8826196052511.

11525069162880 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 5 + 0 + 6 + 9 + 1 + 628 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11525069162857) and next prime (11525069162903).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-4 number, since 4×11525069162880⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 73408083762 + ... + 73408083918.

Almost surely, 2^{11525069162880} is an apocalyptic number.

11525069162880 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 11525069162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560978044200).

11525069162880 is an abundant number, since it is smaller than the sum of its proper divisors (43596886925520).

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

11525069162880 is a wasteful number, since it uses less digits than its factorization.

11525069162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 11525069162880 in words is "eleven trillion, five hundred twenty-five billion, sixty-nine million, one hundred sixty-two thousand, eight hundred eighty".