11049962400 has 324 divisors, whose sum is σ = 40287620646. Its totient is φ = 2849817600.

The previous prime is 11049962387. The next prime is 11049962543. The reversal of 11049962400 is 426994011.

It is a happy number.

11049962400 is a `hidden beast` number, since 1 + 104 + 99 + 62 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6516364176 + 4533598224 = 80724^2 + 67332^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 6918402 + ... + 6919998.

Almost surely, 2^11049962400 is an apocalyptic number.

11049962400 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 11049962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20143810323).

11049962400 is an abundant number, since it is smaller than the sum of its proper divisors (29237658246).

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

11049962400 is a wasteful number, since it uses less digits than its factorization.

11049962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11049962400 in words is "eleven billion, forty-nine million, nine hundred sixty-two thousand, four hundred".