11690918400 has 960 divisors, whose sum is σ = 48321478656. Its totient is φ = 2433024000.

The previous prime is 11690918383. The next prime is 11690918413. The reversal of 11690918400 is 481909611.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191654370 + ... + 191654430.

Almost surely, 2^11690918400 is an apocalyptic number.

11690918400 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 11690918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24160739328).

11690918400 is an abundant number, since it is smaller than the sum of its proper divisors (36630560256).

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

11690918400 is a wasteful number, since it uses less digits than its factorization.

11690918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 11690918400 in words is "eleven billion, six hundred ninety million, nine hundred eighteen thousand, four hundred".