10872795494400 has 1728 divisors, whose sum is σ = 43193598870240. Its totient is φ = 2404594483200.

The previous prime is 10872795494387. The next prime is 10872795494411. The reversal of 10872795494400 is 449459727801.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38693222260 + ... + 38693222540.

Almost surely, 2^{10872795494400} is an apocalyptic number.

10872795494400 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 10872795494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21596799435120).

10872795494400 is an abundant number, since it is smaller than the sum of its proper divisors (32320803375840).

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

10872795494400 is a wasteful number, since it uses less digits than its factorization.

10872795494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 10872795494400 in words is "ten trillion, eight hundred seventy-two billion, seven hundred ninety-five million, four hundred ninety-four thousand, four hundred".