13270770619920 has 400 divisors, whose sum is σ = 51105778574400. Its totient is φ = 3164415206400.

The previous prime is 13270770619889. The next prime is 13270770619921. The reversal of 13270770619920 is 2991607707231.

13270770619920 is a `hidden beast` number, since 13 + 2 + 7 + 0 + 7 + 7 + 0 + 619 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×13270770619920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13270770619921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2822031 + ... + 5874129.

It is an arithmetic number, because the mean of its divisors is an integer number (127764446436).

Almost surely, 2^{13270770619920} is an apocalyptic number.

13270770619920 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 13270770619920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25552889287200).

13270770619920 is an abundant number, since it is smaller than the sum of its proper divisors (37835007954480).

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

13270770619920 is a wasteful number, since it uses less digits than its factorization.

13270770619920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052196 (or 3052181 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 13270770619920 in words is "thirteen trillion, two hundred seventy billion, seven hundred seventy million, six hundred nineteen thousand, nine hundred twenty".