10476983596800 has 864 divisors, whose sum is σ = 40928253313024. Its totient is φ = 2309658624000.

The previous prime is 10476983596787. The next prime is 10476983596813. The reversal of 10476983596800 is 869538967401.

It is an interprime number because it is at equal distance from previous prime (10476983596787) and next prime (10476983596813).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1279080705 + ... + 1279088895.

Almost surely, 2^{10476983596800} is an apocalyptic number.

10476983596800 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 10476983596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20464126656512).

10476983596800 is an abundant number, since it is smaller than the sum of its proper divisors (30451269716224).

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

10476983596800 is a wasteful number, since it uses less digits than its factorization.

10476983596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8546 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 10476983596800 in words is "ten trillion, four hundred seventy-six billion, nine hundred eighty-three million, five hundred ninety-six thousand, eight hundred".