11507278464 has 288 divisors, whose sum is σ = 37159611840. Its totient is φ = 3388308480.

The previous prime is 11507278439. The next prime is 11507278477. The reversal of 11507278464 is 46487270511.

11507278464 is a `hidden beast` number, since 1 + 1 + 50 + 72 + 78 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82786107 + ... + 82786245.

It is an arithmetic number, because the mean of its divisors is an integer number (129026430).

Almost surely, 2^11507278464 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 11507278464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579805920).

11507278464 is an abundant number, since it is smaller than the sum of its proper divisors (25652333376).

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

11507278464 is a wasteful number, since it uses less digits than its factorization.

11507278464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 11507278464 in words is "eleven billion, five hundred seven million, two hundred seventy-eight thousand, four hundred sixty-four".