10373121792000 has 2688 divisors, whose sum is σ = 43971748853760. Its totient is φ = 2418647040000.

The previous prime is 10373121791951. The next prime is 10373121792043. The reversal of 10373121792000 is 29712137301.

It is a happy number.

10373121792000 is a `hidden beast` number, since 1 + 0 + 373 + 12 + 1 + 79 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 63638783919 + ... + 63638784081.

It is an arithmetic number, because the mean of its divisors is an integer number (16358537520).

Almost surely, 2^{10373121792000} is an apocalyptic number.

10373121792000 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 10373121792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21985874426880).

10373121792000 is an abundant number, since it is smaller than the sum of its proper divisors (33598627061760).

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

10373121792000 is an equidigital number, since it uses as much as digits as its factorization.

10373121792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 10373121792000 in words is "ten trillion, three hundred seventy-three billion, one hundred twenty-one million, seven hundred ninety-two thousand".