11370086400 has 360 divisors, whose sum is σ = 39655934080. Its totient is φ = 2866544640.

The previous prime is 11370086341. The next prime is 11370086477. The reversal of 11370086400 is 468007311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 23346957 + ... + 23347443.

Almost surely, 2^11370086400 is an apocalyptic number.

11370086400 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 11370086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19827967040).

11370086400 is an abundant number, since it is smaller than the sum of its proper divisors (28285847680).

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

11370086400 is an equidigital number, since it uses as much as digits as its factorization.

11370086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 11370086400 in words is "eleven billion, three hundred seventy million, eighty-six thousand, four hundred".