11310372864 has 288 divisors, whose sum is σ = 38116260000. Its totient is φ = 3229728768.

The previous prime is 11310372863. The next prime is 11310372923. The reversal of 11310372864 is 46827301311.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310372863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6321282 + ... + 6323070.

It is an arithmetic number, because the mean of its divisors is an integer number (132348125).

Almost surely, 2^11310372864 is an apocalyptic number.

11310372864 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 11310372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058130000).

11310372864 is an abundant number, since it is smaller than the sum of its proper divisors (26805887136).

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

11310372864 is an equidigital number, since it uses as much as digits as its factorization.

11310372864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11310372864 in words is "eleven billion, three hundred ten million, three hundred seventy-two thousand, eight hundred sixty-four".