11892579840 has 640 divisors, whose sum is σ = 46403280000. Its totient is φ = 2873622528.

The previous prime is 11892579793. The next prime is 11892579871. The reversal of 11892579840 is 4897529811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34075986 + ... + 34076334.

It is an arithmetic number, because the mean of its divisors is an integer number (72505125).

Almost surely, 2^11892579840 is an apocalyptic number.

11892579840 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 11892579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23201640000).

11892579840 is an abundant number, since it is smaller than the sum of its proper divisors (34510700160).

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

11892579840 is a wasteful number, since it uses less digits than its factorization.

11892579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

It can be divided in two parts, 118925 and 79840, that added together give a triangular number (198765 = T₆₃₀).

The spelling of 11892579840 in words is "eleven billion, eight hundred ninety-two million, five hundred seventy-nine thousand, eight hundred forty".