10004870089032 has 384 divisors, whose sum is σ = 31277715840000. Its totient is φ = 2612242983168.

The previous prime is 10004870088991. The next prime is 10004870089057. The reversal of 10004870089032 is 23098007840001.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 6674362219 + ... + 6674363717.

It is an arithmetic number, because the mean of its divisors is an integer number (81452385000).

Almost surely, 2^{10004870089032} is an apocalyptic number.

10004870089032 is a gapful number since it is divisible by the number (12) 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 10004870089032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15638857920000).

10004870089032 is an abundant number, since it is smaller than the sum of its proper divisors (21272845750968).

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

10004870089032 is an equidigital number, since it uses as much as digits as its factorization.

10004870089032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 10004870089032 in words is "ten trillion, four billion, eight hundred seventy million, eighty-nine thousand, thirty-two".