10009172782400 has 168 divisors, whose sum is σ = 26974859436000. Its totient is φ = 3625196800000.

The previous prime is 10009172782307. The next prime is 10009172782423. The reversal of 10009172782400 is 428727190001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3284726 + ... + 5550474.

It is an arithmetic number, because the mean of its divisors is an integer number (160564639500).

Almost surely, 2^{10009172782400} is an apocalyptic number.

10009172782400 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 10009172782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13487429718000).

10009172782400 is an abundant number, since it is smaller than the sum of its proper divisors (16965686653600).

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

10009172782400 is a wasteful number, since it uses less digits than its factorization.

10009172782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266033 (or 2266018 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 10009172782400 in words is "ten trillion, nine billion, one hundred seventy-two million, seven hundred eighty-two thousand, four hundred".