8056779541440 has 1792 divisors, whose sum is σ = 32985732612096. Its totient is φ = 1623844454400.

The previous prime is 8056779541417. The next prime is 8056779541469. The reversal of 8056779541440 is 441459776508.

It is a super-2 number, since 2×8056779541440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29085846582 + ... + 29085846858.

Almost surely, 2^{8056779541440} is an apocalyptic number.

8056779541440 is a gapful number since it is divisible by the number (80) 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 8056779541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16492866306048).

8056779541440 is an abundant number, since it is smaller than the sum of its proper divisors (24928953070656).

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

8056779541440 is a wasteful number, since it uses less digits than its factorization.

8056779541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 8056779541440 in words is "eight trillion, fifty-six billion, seven hundred seventy-nine million, five hundred forty-one thousand, four hundred forty".