11892319740 has 576 divisors, whose sum is σ = 46193172480. Its totient is φ = 2412748800.

The previous prime is 11892319687. The next prime is 11892319787. The reversal of 11892319740 is 4791329811.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49758541 + ... + 49758779.

It is an arithmetic number, because the mean of its divisors is an integer number (80196480).

Almost surely, 2^11892319740 is an apocalyptic number.

11892319740 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 11892319740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23096586240).

11892319740 is an abundant number, since it is smaller than the sum of its proper divisors (34300852740).

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

11892319740 is a wasteful number, since it uses less digits than its factorization.

11892319740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11892319740 in words is "eleven billion, eight hundred ninety-two million, three hundred nineteen thousand, seven hundred forty".