13070257200 has 1800 divisors, whose sum is σ = 65370387456. Its totient is φ = 2426112000.

The previous prime is 13070257183. The next prime is 13070257229. The reversal of 13070257200 is 275207031.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 421621185 + ... + 421621215.

Almost surely, 2^13070257200 is an apocalyptic number.

13070257200 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 13070257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32685193728).

13070257200 is an abundant number, since it is smaller than the sum of its proper divisors (52300130256).

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

13070257200 is a wasteful number, since it uses less digits than its factorization.

13070257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 13070257200 in words is "thirteen billion, seventy million, two hundred fifty-seven thousand, two hundred".