10021294080 has 520 divisors, whose sum is σ = 41103355392. Its totient is φ = 2287927296.

The previous prime is 10021294067. The next prime is 10021294091. The reversal of 10021294080 is 8049212001.

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 39 ways as a sum of consecutive naturals, for example, 11611729 + ... + 11612591.

Almost surely, 2^10021294080 is an apocalyptic number.

10021294080 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 10021294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20551677696).

10021294080 is an abundant number, since it is smaller than the sum of its proper divisors (31082061312).

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

10021294080 is an frugal number, since it uses more digits than its factorization.

10021294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10021294080 in words is "ten billion, twenty-one million, two hundred ninety-four thousand, eighty".