10029172080 has 640 divisors, whose sum is σ = 36203397120. Its totient is φ = 2285015040.

The previous prime is 10029172067. The next prime is 10029172129. The reversal of 10029172080 is 8027192001.

It is a super-2 number, since 2×10029172080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213386617 + ... + 213386663.

It is an arithmetic number, because the mean of its divisors is an integer number (56567808).

Almost surely, 2^10029172080 is an apocalyptic number.

10029172080 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 10029172080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18101698560).

10029172080 is an abundant number, since it is smaller than the sum of its proper divisors (26174225040).

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

10029172080 is a wasteful number, since it uses less digits than its factorization.

10029172080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 10029172080 in words is "ten billion, twenty-nine million, one hundred seventy-two thousand, eighty".