11862364800 has 384 divisors, whose sum is σ = 45907686720. Its totient is φ = 2654208000.

The previous prime is 11862364783. The next prime is 11862364819. The reversal of 11862364800 is 846326811.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1368480 + ... + 1377120.

Almost surely, 2^11862364800 is an apocalyptic number.

11862364800 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 11862364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22953843360).

11862364800 is an abundant number, since it is smaller than the sum of its proper divisors (34045321920).

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

11862364800 is a wasteful number, since it uses less digits than its factorization.

11862364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8692 (or 8675 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 11862364800 in words is "eleven billion, eight hundred sixty-two million, three hundred sixty-four thousand, eight hundred".