10172984640000 has 3200 divisors, whose sum is σ = 44739064516608. Its totient is φ = 1995079680000.

The previous prime is 10172984639969. The next prime is 10172984640001. The reversal of 10172984640000 is 4648927101.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10172984640001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 122566079959 + ... + 122566080041.

Almost surely, 2^{10172984640000} is an apocalyptic number.

10172984640000 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 10172984640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22369532258304).

10172984640000 is an abundant number, since it is smaller than the sum of its proper divisors (34566079876608).

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

10172984640000 is an equidigital number, since it uses as much as digits as its factorization.

10172984640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 10172984640000 in words is "ten trillion, one hundred seventy-two billion, nine hundred eighty-four million, six hundred forty thousand".