1159770769920 has 640 divisors, whose sum is σ = 4860054650880. Its totient is φ = 256535838720.

The previous prime is 1159770769901. The next prime is 1159770769931. The reversal of 1159770769920 is 299670779511.

1159770769920 is a `hidden beast` number, since 11 + 597 + 7 + 0 + 7 + 6 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14960379 + ... + 15037701.

It is an arithmetic number, because the mean of its divisors is an integer number (7593835392).

Almost surely, 2^{1159770769920} is an apocalyptic number.

1159770769920 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 1159770769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430027325440).

1159770769920 is an abundant number, since it is smaller than the sum of its proper divisors (3700283880960).

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

1159770769920 is an equidigital number, since it uses as much as digits as its factorization.

1159770769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77393 (or 77371 counting only the distinct ones).

The product of its (nonzero) digits is 15002820, while the sum is 63.

The spelling of 1159770769920 in words is "one trillion, one hundred fifty-nine billion, seven hundred seventy million, seven hundred sixty-nine thousand, nine hundred twenty".