11506286769264 has 1280 divisors, whose sum is σ = 42456711168000. Its totient is φ = 2908116172800.

The previous prime is 11506286769251. The next prime is 11506286769277. The reversal of 11506286769264 is 46296768260511.

11506286769264 is a `hidden beast` number, since 1 + 1 + 506 + 2 + 8 + 6 + 7 + 69 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (11506286769251) and next prime (11506286769277).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11160316429 + ... + 11160317459.

It is an arithmetic number, because the mean of its divisors is an integer number (33169305600).

Almost surely, 2^{11506286769264} is an apocalyptic number.

11506286769264 is a gapful number since it is divisible by the number (14) 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 11506286769264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228355584000).

11506286769264 is an abundant number, since it is smaller than the sum of its proper divisors (30950424398736).

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

11506286769264 is a wasteful number, since it uses less digits than its factorization.

11506286769264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 11506286769264 in words is "eleven trillion, five hundred six billion, two hundred eighty-six million, seven hundred sixty-nine thousand, two hundred sixty-four".