10723296672000 has 576 divisors, whose sum is σ = 43172680561920. Its totient is φ = 2599584768000.

The previous prime is 10723296671987. The next prime is 10723296672089. The reversal of 10723296672000 is 27669232701.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10723296672000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8939854 + ... + 10068146.

It is an arithmetic number, because the mean of its divisors is an integer number (74952570420).

Almost surely, 2^{10723296672000} is an apocalyptic number.

10723296672000 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 10723296672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21586340280960).

10723296672000 is an abundant number, since it is smaller than the sum of its proper divisors (32449383889920).

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

10723296672000 is a wasteful number, since it uses less digits than its factorization.

10723296672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128344 (or 1128314 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10723296672000 in words is "ten trillion, seven hundred twenty-three billion, two hundred ninety-six million, six hundred seventy-two thousand".