11492020800 has 840 divisors, whose sum is σ = 48018801600. Its totient is φ = 2672455680.

The previous prime is 11492020753. The next prime is 11492020811. The reversal of 11492020800 is 802029411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32011021 + ... + 32011379.

It is an arithmetic number, because the mean of its divisors is an integer number (57165240).

Almost surely, 2^11492020800 is an apocalyptic number.

11492020800 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 11492020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24009400800).

11492020800 is an abundant number, since it is smaller than the sum of its proper divisors (36526780800).

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

11492020800 is a wasteful number, since it uses less digits than its factorization.

11492020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11492020800 in words is "eleven billion, four hundred ninety-two million, twenty thousand, eight hundred".