10153661600 has 72 divisors (see below), whose sum is σ = 24811411968. Its totient is φ = 4057568000.

The previous prime is 10153661599. The next prime is 10153661633. The reversal of 10153661600 is 616635101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915287 + ... + 926313.

It is an arithmetic number, because the mean of its divisors is an integer number (344602944).

Almost surely, 2^10153661600 is an apocalyptic number.

10153661600 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 10153661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12405705984).

10153661600 is an abundant number, since it is smaller than the sum of its proper divisors (14657750368).

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

10153661600 is a wasteful number, since it uses less digits than its factorization.

10153661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12198 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 10153661600 in words is "ten billion, one hundred fifty-three million, six hundred sixty-one thousand, six hundred".