10432712880 has 240 divisors, whose sum is σ = 36843356160. Its totient is φ = 2641766400.

The previous prime is 10432712879. The next prime is 10432712891. The reversal of 10432712880 is 8821723401.

10432712880 is a `hidden beast` number, since 104 + 3 + 271 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1269585 + ... + 1277775.

It is an arithmetic number, because the mean of its divisors is an integer number (153513984).

Almost surely, 2^10432712880 is an apocalyptic number.

10432712880 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 10432712880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18421678080).

10432712880 is an abundant number, since it is smaller than the sum of its proper divisors (26410643280).

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

10432712880 is a wasteful number, since it uses less digits than its factorization.

10432712880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10432712880 in words is "ten billion, four hundred thirty-two million, seven hundred twelve thousand, eight hundred eighty".