11801264339200 has 216 divisors, whose sum is σ = 33430537183680. Its totient is φ = 4040365056000.

The previous prime is 11801264339191. The next prime is 11801264339251. The reversal of 11801264339200 is 293346210811.

It is a happy number.

It is a super-2 number, since 2×11801264339200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31216911 + ... + 31592689.

It is an arithmetic number, because the mean of its divisors is an integer number (154771005480).

Almost surely, 2^{11801264339200} is an apocalyptic number.

11801264339200 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 11801264339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16715268591840).

11801264339200 is an abundant number, since it is smaller than the sum of its proper divisors (21629272844480).

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

11801264339200 is an equidigital number, since it uses as much as digits as its factorization.

11801264339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376513 (or 376494 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 11801264339200 in words is "eleven trillion, eight hundred one billion, two hundred sixty-four million, three hundred thirty-nine thousand, two hundred".