20113779840 has 1024 divisors, whose sum is σ = 86802554880. Its totient is φ = 3833856000.

The previous prime is 20113779809. The next prime is 20113779853. The reversal of 20113779840 is 4897731102.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20113779792 and 20113779801.

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 127 ways as a sum of consecutive naturals, for example, 133203765 + ... + 133203915.

It is an arithmetic number, because the mean of its divisors is an integer number (84768120).

Almost surely, 2^20113779840 is an apocalyptic number.

20113779840 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 20113779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43401277440).

20113779840 is an abundant number, since it is smaller than the sum of its proper divisors (66688775040).

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

20113779840 is a wasteful number, since it uses less digits than its factorization.

20113779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 20113779840 in words is "twenty billion, one hundred thirteen million, seven hundred seventy-nine thousand, eight hundred forty".