10153653220 has 96 divisors (see below), whose sum is σ = 22430784096. Its totient is φ = 3856896000.

The previous prime is 10153653197. The next prime is 10153653229. The reversal of 10153653220 is 2235635101.

It can be written as a sum of positive squares in 16 ways, for example, as 805083876 + 9348569344 = 28374^2 + 96688^2 .

It is not an unprimeable number, because it can be changed into a prime (10153653229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5455090 + ... + 5456950.

It is an arithmetic number, because the mean of its divisors is an integer number (233654001).

Almost surely, 2^10153653220 is an apocalyptic number.

10153653220 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 10153653220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11215392048).

10153653220 is an abundant number, since it is smaller than the sum of its proper divisors (12277130876).

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

10153653220 is a wasteful number, since it uses less digits than its factorization.

10153653220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 10153653220 in words is "ten billion, one hundred fifty-three million, six hundred fifty-three thousand, two hundred twenty".