20379461179392 has 1152 divisors, whose sum is σ = 74281989600000. Its totient is φ = 5489337434112.

The previous prime is 20379461179381. The next prime is 20379461179421. The reversal of 20379461179392 is 29397116497302.

20379461179392 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 9 + 4 + 611 + 7 + 9 + 3 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11994973359 + ... + 11994975057.

It is an arithmetic number, because the mean of its divisors is an integer number (64480893750).

Almost surely, 2^{20379461179392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20379461179392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37140994800000).

20379461179392 is an abundant number, since it is smaller than the sum of its proper divisors (53902528420608).

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

20379461179392 is a wasteful number, since it uses less digits than its factorization.

20379461179392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 20379461179392 in words is "twenty trillion, three hundred seventy-nine billion, four hundred sixty-one million, one hundred seventy-nine thousand, three hundred ninety-two".