11872407552 has 208 divisors, whose sum is σ = 32956914432. Its totient is φ = 3798466560.

The previous prime is 11872407541. The next prime is 11872407709. The reversal of 11872407552 is 25570427811.

It is a super-2 number, since 2×11872407552² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35229528 + ... + 35229864.

It is an arithmetic number, because the mean of its divisors is an integer number (158446704).

Almost surely, 2^11872407552 is an apocalyptic number.

11872407552 is a gapful number since it is divisible by the number (12) 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 11872407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16478457216).

11872407552 is an abundant number, since it is smaller than the sum of its proper divisors (21084506880).

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

11872407552 is an equidigital number, since it uses as much as digits as its factorization.

11872407552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 11872407552 in words is "eleven billion, eight hundred seventy-two million, four hundred seven thousand, five hundred fifty-two".