10029221280 has 384 divisors, whose sum is σ = 38178604800. Its totient is φ = 2444193792.

The previous prime is 10029221263. The next prime is 10029221287. The reversal of 10029221280 is 8212292001.

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

It is not an unprimeable number, because it can be changed into a prime (10029221287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6008286 + ... + 6009954.

It is an arithmetic number, because the mean of its divisors is an integer number (99423450).

Almost surely, 2^10029221280 is an apocalyptic number.

10029221280 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 10029221280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19089302400).

10029221280 is an abundant number, since it is smaller than the sum of its proper divisors (28149383520).

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

10029221280 is a wasteful number, since it uses less digits than its factorization.

10029221280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1799 counting only the distinct ones).

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

The spelling of 10029221280 in words is "ten billion, twenty-nine million, two hundred twenty-one thousand, two hundred eighty".