11801751840 has 384 divisors, whose sum is σ = 43295212800. Its totient is φ = 3035999232.

The previous prime is 11801751833. The next prime is 11801751853. The reversal of 11801751840 is 4815710811.

11801751840 is a `hidden beast` number, since 11 + 80 + 17 + 518 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11801751795 and 11801751804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10147099 + ... + 10148261.

It is an arithmetic number, because the mean of its divisors is an integer number (112747950).

Almost surely, 2^11801751840 is an apocalyptic number.

11801751840 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 11801751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21647606400).

11801751840 is an abundant number, since it is smaller than the sum of its proper divisors (31493460960).

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

11801751840 is an equidigital number, since it uses as much as digits as its factorization.

11801751840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 11801751840 in words is "eleven billion, eight hundred one million, seven hundred fifty-one thousand, eight hundred forty".