13098153600 has 480 divisors, whose sum is σ = 55247728800. Its totient is φ = 2993448960.

The previous prime is 13098153547. The next prime is 13098153611. The reversal of 13098153600 is 635189031.

It is a happy number.

13098153600 is a `hidden beast` number, since 1 + 30 + 9 + 8 + 15 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1810791 + ... + 1818009.

It is an arithmetic number, because the mean of its divisors is an integer number (115099435).

Almost surely, 2^13098153600 is an apocalyptic number.

13098153600 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 13098153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27623864400).

13098153600 is an abundant number, since it is smaller than the sum of its proper divisors (42149575200).

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

13098153600 is an equidigital number, since it uses as much as digits as its factorization.

13098153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13098153600 in words is "thirteen billion, ninety-eight million, one hundred fifty-three thousand, six hundred".