11985350251056 has 160 divisors (see below), whose sum is σ = 38168838704640. Its totient is φ = 3155864205312.

The previous prime is 11985350251033. The next prime is 11985350251111. The reversal of 11985350251056 is 65015205358911.

It is a super-3 number, since 3×11985350251056³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487396 + ... + 4920188.

It is an arithmetic number, because the mean of its divisors is an integer number (238555241904).

Almost surely, 2^{11985350251056} is an apocalyptic number.

11985350251056 is a gapful number since it is divisible by the number (16) 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 11985350251056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084419352320).

11985350251056 is an abundant number, since it is smaller than the sum of its proper divisors (26183488453584).

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

11985350251056 is a wasteful number, since it uses less digits than its factorization.

11985350251056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433443 (or 4433437 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 51.

The spelling of 11985350251056 in words is "eleven trillion, nine hundred eighty-five billion, three hundred fifty million, two hundred fifty-one thousand, fifty-six".