11881964640 has 768 divisors, whose sum is σ = 49312972800. Its totient is φ = 2335039488.

The previous prime is 11881964603. The next prime is 11881964641. The reversal of 11881964640 is 4646918811.

It is a super-3 number, since 3×11881964640³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11881964640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11881964641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85481691 + ... + 85481829.

It is an arithmetic number, because the mean of its divisors is an integer number (64209600).

Almost surely, 2^11881964640 is an apocalyptic number.

11881964640 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 11881964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24656486400).

11881964640 is an abundant number, since it is smaller than the sum of its proper divisors (37431008160).

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

11881964640 is a wasteful number, since it uses less digits than its factorization.

11881964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 11881964640 in words is "eleven billion, eight hundred eighty-one million, nine hundred sixty-four thousand, six hundred forty".