10332126720 has 480 divisors, whose sum is σ = 39331420128. Its totient is φ = 2590507008.

The previous prime is 10332126697. The next prime is 10332126781. The reversal of 10332126720 is 2762123301.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 10574872 + ... + 10575848.

Almost surely, 2^10332126720 is an apocalyptic number.

10332126720 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 10332126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19665710064).

10332126720 is an abundant number, since it is smaller than the sum of its proper divisors (28999293408).

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

10332126720 is an frugal number, since it uses more digits than its factorization.

10332126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10332126720 in words is "ten billion, three hundred thirty-two million, one hundred twenty-six thousand, seven hundred twenty".