13056077422080 has 2560 divisors, whose sum is σ = 61811078123520. Its totient is φ = 2528787824640.

The previous prime is 13056077422049. The next prime is 13056077422081. The reversal of 13056077422080 is 8022477065031.

13056077422080 is a `hidden beast` number, since 1 + 3 + 0 + 560 + 7 + 7 + 4 + 2 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×13056077422080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13056077422081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10224022402 + ... + 10224023678.

It is an arithmetic number, because the mean of its divisors is an integer number (24144952392).

Almost surely, 2^{13056077422080} is an apocalyptic number.

13056077422080 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 13056077422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30905539061760).

13056077422080 is an abundant number, since it is smaller than the sum of its proper divisors (48755000701440).

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

13056077422080 is a wasteful number, since it uses less digits than its factorization.

13056077422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 13056077422080 in words is "thirteen trillion, fifty-six billion, seventy-seven million, four hundred twenty-two thousand, eighty".