11996150400 has 432 divisors, whose sum is σ = 46356674910. Its totient is φ = 2936401920.

The previous prime is 11996150393. The next prime is 11996150429. The reversal of 11996150400 is 405169911.

11996150400 is a `hidden beast` number, since 1 + 1 + 99 + 61 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6662477376 + 5333673024 = 81624^2 + 73032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 67017511 + ... + 67017689.

Almost surely, 2^11996150400 is an apocalyptic number.

11996150400 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 11996150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23178337455).

11996150400 is an abundant number, since it is smaller than the sum of its proper divisors (34360524510).

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

11996150400 is a wasteful number, since it uses less digits than its factorization.

11996150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 11996150400 in words is "eleven billion, nine hundred ninety-six million, one hundred fifty thousand, four hundred".