1162915729920 has 1320 divisors, whose sum is σ = 4896211632444. Its totient is φ = 264116256768.

The previous prime is 1162915729903. The next prime is 1162915729939. The reversal of 1162915729920 is 299275192611.

It is a happy number.

1162915729920 is a `hidden beast` number, since 1 + 1 + 62 + 9 + 1 + 572 + 9 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1126620907776 + 36294822144 = 1061424^2 + 190512^2 .

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 131 ways as a sum of consecutive naturals, for example, 7407106482 + ... + 7407106638.

Almost surely, 2^{1162915729920} is an apocalyptic number.

1162915729920 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 1162915729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448105816222).

1162915729920 is an abundant number, since it is smaller than the sum of its proper divisors (3733295902524).

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

1162915729920 is an frugal number, since it uses more digits than its factorization.

1162915729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 1162915729920 in words is "one trillion, one hundred sixty-two billion, nine hundred fifteen million, seven hundred twenty-nine thousand, nine hundred twenty".