20229107857920 has 960 divisors, whose sum is σ = 79570653402240. Its totient is φ = 4894959403008.

The previous prime is 20229107857837. The next prime is 20229107857949. The reversal of 20229107857920 is 2975870192202.

20229107857920 is a `hidden beast` number, since 20 + 2 + 29 + 1 + 0 + 7 + 8 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 477114162 + ... + 477156558.

It is an arithmetic number, because the mean of its divisors is an integer number (82886097294).

Almost surely, 2^{20229107857920} is an apocalyptic number.

20229107857920 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 20229107857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39785326701120).

20229107857920 is an abundant number, since it is smaller than the sum of its proper divisors (59341545544320).

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

20229107857920 is an equidigital number, since it uses as much as digits as its factorization.

20229107857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42507 (or 42479 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 20229107857920 in words is "twenty trillion, two hundred twenty-nine billion, one hundred seven million, eight hundred fifty-seven thousand, nine hundred twenty".