10510012800 has 576 divisors, whose sum is σ = 44049189600. Its totient is φ = 2335703040.

The previous prime is 10510012769. The next prime is 10510012813. The reversal of 10510012800 is 821001501.

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

It is a super-2 number, since 2×10510012800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7458496 + ... + 7459904.

Almost surely, 2^10510012800 is an apocalyptic number.

10510012800 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 10510012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22024594800).

10510012800 is an abundant number, since it is smaller than the sum of its proper divisors (33539176800).

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

10510012800 is a wasteful number, since it uses less digits than its factorization.

10510012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The spelling of 10510012800 in words is "ten billion, five hundred ten million, twelve thousand, eight hundred".