11626865952 has 192 divisors, whose sum is σ = 34058916864. Its totient is φ = 3448811520.

The previous prime is 11626865951. The next prime is 11626865959. The reversal of 11626865952 is 25956862611.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11626865895 and 11626865904.

It is not an unprimeable number, because it can be changed into a prime (11626865951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15358758 + ... + 15359514.

It is an arithmetic number, because the mean of its divisors is an integer number (177390192).

Almost surely, 2^11626865952 is an apocalyptic number.

11626865952 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 11626865952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17029458432).

11626865952 is an abundant number, since it is smaller than the sum of its proper divisors (22432050912).

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

11626865952 is a wasteful number, since it uses less digits than its factorization.

11626865952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The spelling of 11626865952 in words is "eleven billion, six hundred twenty-six million, eight hundred sixty-five thousand, nine hundred fifty-two".