1129317577920 has 1176 divisors, whose sum is σ = 4896972237024. Its totient is φ = 242844106752.

The previous prime is 1129317577901. The next prime is 1129317577933. The reversal of 1129317577920 is 297757139211.

1129317577920 is a `hidden beast` number, since 1 + 12 + 9 + 31 + 7 + 577 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 471924244 + ... + 471926636.

Almost surely, 2^{1129317577920} is an apocalyptic number.

1129317577920 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 1129317577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448486118512).

1129317577920 is an abundant number, since it is smaller than the sum of its proper divisors (3767654659104).

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

1129317577920 is an equidigital number, since it uses as much as digits as its factorization.

1129317577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 1129317577920 in words is "one trillion, one hundred twenty-nine billion, three hundred seventeen million, five hundred seventy-seven thousand, nine hundred twenty".