10723096310400 has 2304 divisors, whose sum is σ = 44012141078400. Its totient is φ = 2539192320000.

The previous prime is 10723096310389. The next prime is 10723096310533. The reversal of 10723096310400 is 401369032701.

10723096310400 is a `hidden beast` number, since 1 + 0 + 7 + 230 + 9 + 6 + 3 + 10 + 400 = 666.

It is a super-2 number, since 2×10723096310400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 106169270350 + ... + 106169270450.

Almost surely, 2^{10723096310400} is an apocalyptic number.

10723096310400 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 10723096310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22006070539200).

10723096310400 is an abundant number, since it is smaller than the sum of its proper divisors (33289044768000).

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

10723096310400 is a wasteful number, since it uses less digits than its factorization.

10723096310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10723096310400 in words is "ten trillion, seven hundred twenty-three billion, ninety-six million, three hundred ten thousand, four hundred".