13251962097920 has 432 divisors, whose sum is σ = 41048277516288. Its totient is φ = 4058728611840.

The previous prime is 13251962097919. The next prime is 13251962097977. The reversal of 13251962097920 is 2979026915231.

It is a happy number.

It is a super-2 number, since 2×13251962097920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25014017 + ... + 25538303.

Almost surely, 2^{13251962097920} is an apocalyptic number.

13251962097920 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 13251962097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20524138758144).

13251962097920 is an abundant number, since it is smaller than the sum of its proper divisors (27796315418368).

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

13251962097920 is a wasteful number, since it uses less digits than its factorization.

13251962097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524366 (or 524345 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 56.

The spelling of 13251962097920 in words is "thirteen trillion, two hundred fifty-one billion, nine hundred sixty-two million, ninety-seven thousand, nine hundred twenty".