11801687040 has 880 divisors, whose sum is σ = 49933699200. Its totient is φ = 2627665920.

The previous prime is 11801687039. The next prime is 11801687057. The reversal of 11801687040 is 4078610811.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-3 number, since 3×11801687040³ (a number of 31 digits) contains 333 as substring.

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 = 11801686986 and 11801687004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59304861 + ... + 59305059.

It is an arithmetic number, because the mean of its divisors is an integer number (56742840).

Almost surely, 2^11801687040 is an apocalyptic number.

11801687040 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 11801687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24966849600).

11801687040 is an abundant number, since it is smaller than the sum of its proper divisors (38132012160).

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

11801687040 is a wasteful number, since it uses less digits than its factorization.

11801687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11801687040 in words is "eleven billion, eight hundred one million, six hundred eighty-seven thousand, forty".