13015426457600 has 504 divisors, whose sum is σ = 37434815019984. Its totient is φ = 4397137920000.

The previous prime is 13015426457599. The next prime is 13015426457609. The reversal of 13015426457600 is 675462451031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13015426457609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7226776700 + ... + 7226778500.

Almost surely, 2^{13015426457600} is an apocalyptic number.

13015426457600 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 13015426457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18717407509992).

13015426457600 is an abundant number, since it is smaller than the sum of its proper divisors (24419388562384).

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

13015426457600 is an frugal number, since it uses more digits than its factorization.

13015426457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 13015426457600 in words is "thirteen trillion, fifteen billion, four hundred twenty-six million, four hundred fifty-seven thousand, six hundred".