10487822400 has 504 divisors, whose sum is σ = 41267445024. Its totient is φ = 2504908800.

The previous prime is 10487822353. The next prime is 10487822431. The reversal of 10487822400 is 422878401.

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 71 ways as a sum of consecutive naturals, for example, 11562747 + ... + 11563653.

Almost surely, 2^10487822400 is an apocalyptic number.

10487822400 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 10487822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633722512).

10487822400 is an abundant number, since it is smaller than the sum of its proper divisors (30779622624).

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

10487822400 is a wasteful number, since it uses less digits than its factorization.

10487822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 10487822400 in words is "ten billion, four hundred eighty-seven million, eight hundred twenty-two thousand, four hundred".