1153981687320 has 2304 divisors, whose sum is σ = 5408612352000. Its totient is φ = 209802700800.

The previous prime is 1153981687307. The next prime is 1153981687357. The reversal of 1153981687320 is 237861893511.

1153981687320 is a `hidden beast` number, since 1 + 1 + 5 + 398 + 168 + 73 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2628659661 + ... + 2628660099.

It is an arithmetic number, because the mean of its divisors is an integer number (2347488000).

Almost surely, 2^{1153981687320} is an apocalyptic number.

1153981687320 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 1153981687320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704306176000).

1153981687320 is an abundant number, since it is smaller than the sum of its proper divisors (4254630664680).

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

1153981687320 is a wasteful number, since it uses less digits than its factorization.

1153981687320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1153981687320 in words is "one trillion, one hundred fifty-three billion, nine hundred eighty-one million, six hundred eighty-seven thousand, three hundred twenty".