11720570400 has 1296 divisors, whose sum is σ = 55352082240. Its totient is φ = 2351462400.

The previous prime is 11720570399. The next prime is 11720570443. The reversal of 11720570400 is 407502711.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 404157586 + ... + 404157614.

It is an arithmetic number, because the mean of its divisors is an integer number (42709940).

Almost surely, 2^11720570400 is an apocalyptic number.

11720570400 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 11720570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27676041120).

11720570400 is an abundant number, since it is smaller than the sum of its proper divisors (43631511840).

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

11720570400 is an equidigital number, since it uses as much as digits as its factorization.

11720570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 11720570400 in words is "eleven billion, seven hundred twenty million, five hundred seventy thousand, four hundred".