20292979963776 has 384 divisors, whose sum is σ = 60602371351200. Its totient is φ = 5980142960640.

The previous prime is 20292979963769. The next prime is 20292979963777. The reversal of 20292979963776 is 67736997929202.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20292979963777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465317460 + ... + 465361068.

Almost surely, 2^{20292979963776} is an apocalyptic number.

20292979963776 is a gapful number since it is divisible by the number (26) 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 20292979963776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30301185675600).

20292979963776 is an abundant number, since it is smaller than the sum of its proper divisors (40309391387424).

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

20292979963776 is a wasteful number, since it uses less digits than its factorization.

20292979963776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43798 (or 43755 counting only the distinct ones).

The product of its (nonzero) digits is 1944365472, while the sum is 78.

The spelling of 20292979963776 in words is "twenty trillion, two hundred ninety-two billion, nine hundred seventy-nine million, nine hundred sixty-three thousand, seven hundred seventy-six".