11764827360 has 1152 divisors, whose sum is σ = 51778621440. Its totient is φ = 2388787200.

The previous prime is 11764827323. The next prime is 11764827383. The reversal of 11764827360 is 6372846711.

It is a super-2 number, since 2×11764827360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121286832 + ... + 121286928.

It is an arithmetic number, because the mean of its divisors is an integer number (44946720).

Almost surely, 2^11764827360 is an apocalyptic number.

11764827360 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 11764827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25889310720).

11764827360 is an abundant number, since it is smaller than the sum of its proper divisors (40013794080).

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

11764827360 is a wasteful number, since it uses less digits than its factorization.

11764827360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 11764827360 in words is "eleven billion, seven hundred sixty-four million, eight hundred twenty-seven thousand, three hundred sixty".