10462812800 has 192 divisors, whose sum is σ = 28423850400. Its totient is φ = 3773952000.

The previous prime is 10462812791. The next prime is 10462812803. The reversal of 10462812800 is 821826401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10462812803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4610066 + ... + 4612334.

Almost surely, 2^10462812800 is an apocalyptic number.

10462812800 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 10462812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14211925200).

10462812800 is an abundant number, since it is smaller than the sum of its proper divisors (17961037600).

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

10462812800 is a wasteful number, since it uses less digits than its factorization.

10462812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 10462812800 in words is "ten billion, four hundred sixty-two million, eight hundred twelve thousand, eight hundred".