21998070171792 has 560 divisors, whose sum is σ = 77496390913536. Its totient is φ = 5954798592000.

The previous prime is 21998070171697. The next prime is 21998070171887. The reversal of 21998070171792 is 29717107089912.

It is an interprime number because it is at equal distance from previous prime (21998070171697) and next prime (21998070171887).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 51493792 + ... + 51919232.

Almost surely, 2^{21998070171792} is an apocalyptic number.

21998070171792 is a gapful number since it is divisible by the number (22) 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 21998070171792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38748195456768).

21998070171792 is an abundant number, since it is smaller than the sum of its proper divisors (55498320741744).

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

21998070171792 is a wasteful number, since it uses less digits than its factorization.

21998070171792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425522 (or 425501 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 63.

The spelling of 21998070171792 in words is "twenty-one trillion, nine hundred ninety-eight billion, seventy million, one hundred seventy-one thousand, seven hundred ninety-two".