20229269697000 has 3072 divisors, whose sum is σ = 94748000256000. Its totient is φ = 3883272192000.

The previous prime is 20229269696989. The next prime is 20229269697011. The reversal of 20229269697000 is 79696292202.

20229269697000 is a `hidden beast` number, since 202 + 292 + 69 + 6 + 97 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20229269696989) and next prime (20229269697011).

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 767 ways as a sum of consecutive naturals, for example, 22012262541 + ... + 22012263459.

It is an arithmetic number, because the mean of its divisors is an integer number (30842448000).

Almost surely, 2^{20229269697000} is an apocalyptic number.

20229269697000 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 20229269697000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47374000128000).

20229269697000 is an abundant number, since it is smaller than the sum of its proper divisors (74518730559000).

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

20229269697000 is a wasteful number, since it uses less digits than its factorization.

20229269697000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 20229269697000 in words is "twenty trillion, two hundred twenty-nine billion, two hundred sixty-nine million, six hundred ninety-seven thousand".