10172070192000 has 768 divisors, whose sum is σ = 35035788191040. Its totient is φ = 2608699392000.

The previous prime is 10172070191939. The next prime is 10172070192007. The reversal of 10172070192000 is 29107027101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10172070192007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53256911905 + ... + 53256912095.

Almost surely, 2^{10172070192000} is an apocalyptic number.

10172070192000 is a gapful number since it is divisible by the number (10) 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 10172070192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17517894095520).

10172070192000 is an abundant number, since it is smaller than the sum of its proper divisors (24863717999040).

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

10172070192000 is an equidigital number, since it uses as much as digits as its factorization.

10172070192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The spelling of 10172070192000 in words is "ten trillion, one hundred seventy-two billion, seventy million, one hundred ninety-two thousand".