10153820560 has 160 divisors (see below), whose sum is σ = 26540988768. Its totient is φ = 3587850240.

The previous prime is 10153820461. The next prime is 10153820563. The reversal of 10153820560 is 6502835101.

It can be written as a sum of positive squares in 16 ways, for example, as 2031485184 + 8122335376 = 45072^2 + 90124^2 .

It is not an unprimeable number, because it can be changed into a prime (10153820563) 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, 2257674 + ... + 2262166.

Almost surely, 2^10153820560 is an apocalyptic number.

10153820560 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 10153820560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13270494384).

10153820560 is an abundant number, since it is smaller than the sum of its proper divisors (16387168208).

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

10153820560 is a wasteful number, since it uses less digits than its factorization.

10153820560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 10153820560 in words is "ten billion, one hundred fifty-three million, eight hundred twenty thousand, five hundred sixty".