1155916681920 has 3360 divisors, whose sum is σ = 5831297049600. Its totient is φ = 210651217920.

The previous prime is 1155916681903. The next prime is 1155916681981. The reversal of 1155916681920 is 291866195511.

It is a happy number.

1155916681920 is a `hidden beast` number, since 1 + 1 + 559 + 1 + 6 + 6 + 81 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×1155916681920² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7757830006 + ... + 7757830154.

Almost surely, 2^{1155916681920} is an apocalyptic number.

1155916681920 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 1155916681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915648524800).

1155916681920 is an abundant number, since it is smaller than the sum of its proper divisors (4675380367680).

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

1155916681920 is a wasteful number, since it uses less digits than its factorization.

1155916681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 1155916681920 in words is "one trillion, one hundred fifty-five billion, nine hundred sixteen million, six hundred eighty-one thousand, nine hundred twenty".