11690122400 has 288 divisors, whose sum is σ = 33072883200. Its totient is φ = 3990297600.

The previous prime is 11690122387. The next prime is 11690122427. The reversal of 11690122400 is 422109611.

It is a self number, because there is not a number n which added to its sum of digits gives 11690122400.

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, 23240549 + ... + 23241051.

It is an arithmetic number, because the mean of its divisors is an integer number (114836400).

Almost surely, 2^11690122400 is an apocalyptic number.

11690122400 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 11690122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536441600).

11690122400 is an abundant number, since it is smaller than the sum of its proper divisors (21382760800).

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

11690122400 is a wasteful number, since it uses less digits than its factorization.

11690122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 11690122400 in words is "eleven billion, six hundred ninety million, one hundred twenty-two thousand, four hundred".