20311979950080 has 3072 divisors, whose sum is σ = 94533472051200. Its totient is φ = 3913788948480.

The previous prime is 20311979950027. The next prime is 20311979950139. The reversal of 20311979950080 is 8005997911302.

20311979950080 is a `hidden beast` number, since 2 + 0 + 31 + 19 + 7 + 99 + 500 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a junction number, because it is equal to n+sod(n) for n = 20311979949999 and 20311979950026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79034941312 + ... + 79034941568.

It is an arithmetic number, because the mean of its divisors is an integer number (30772614600).

Almost surely, 2^{20311979950080} is an apocalyptic number.

20311979950080 is a gapful number since it is divisible by the number (20) 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 20311979950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47266736025600).

20311979950080 is an abundant number, since it is smaller than the sum of its proper divisors (74221492101120).

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

20311979950080 is a wasteful number, since it uses less digits than its factorization.

20311979950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 20311979950080 in words is "twenty trillion, three hundred eleven billion, nine hundred seventy-nine million, nine hundred fifty thousand, eighty".