1156779081360 has 640 divisors, whose sum is σ = 4811006361600. Its totient is φ = 249853040640.

The previous prime is 1156779081277. The next prime is 1156779081481. The reversal of 1156779081360 is 631809776511.

1156779081360 is a `hidden beast` number, since 1 + 1 + 56 + 77 + 90 + 81 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1156779081297 and 1156779081306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20580495 + ... + 20636625.

It is an arithmetic number, because the mean of its divisors is an integer number (7517197440).

Almost surely, 2^{1156779081360} is an apocalyptic number.

1156779081360 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 1156779081360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405503180800).

1156779081360 is an abundant number, since it is smaller than the sum of its proper divisors (3654227280240).

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

1156779081360 is a wasteful number, since it uses less digits than its factorization.

1156779081360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56236 (or 56224 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 1156779081360 in words is "one trillion, one hundred fifty-six billion, seven hundred seventy-nine million, eighty-one thousand, three hundred sixty".