11890981397952 has 336 divisors, whose sum is σ = 36671486585760. Its totient is φ = 3672370151424.

The previous prime is 11890981397947. The next prime is 11890981397957. The reversal of 11890981397952 is 25979318909811.

11890981397952 is a `hidden beast` number, since 1 + 18 + 90 + 98 + 1 + 397 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (11890981397947) and next prime (11890981397957).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11890981397957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181517268 + ... + 181582764.

Almost surely, 2^{11890981397952} is an apocalyptic number.

11890981397952 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 11890981397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18335743292880).

11890981397952 is an abundant number, since it is smaller than the sum of its proper divisors (24780505187808).

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

11890981397952 is a wasteful number, since it uses less digits than its factorization.

11890981397952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65900 (or 65887 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 72.

The spelling of 11890981397952 in words is "eleven trillion, eight hundred ninety billion, nine hundred eighty-one million, three hundred ninety-seven thousand, nine hundred fifty-two".