11525107464 has 128 divisors (see below), whose sum is σ = 34729632000. Its totient is φ = 3520184832.

The previous prime is 11525107463. The next prime is 11525107469. The reversal of 11525107464 is 46470152511.

11525107464 is a `hidden beast` number, since 1 + 1 + 525 + 1 + 0 + 74 + 64 = 666.

It is a super-2 number, since 2×11525107464² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11525107463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369717 + ... + 399675.

It is an arithmetic number, because the mean of its divisors is an integer number (271325250).

Almost surely, 2^11525107464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11525107464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364816000).

11525107464 is an abundant number, since it is smaller than the sum of its proper divisors (23204524536).

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

11525107464 is a wasteful number, since it uses less digits than its factorization.

11525107464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30124 (or 30114 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 11525107464 its reverse (46470152511), we get a palindrome (57995259975).

The spelling of 11525107464 in words is "eleven billion, five hundred twenty-five million, one hundred seven thousand, four hundred sixty-four".