1137717884160 has 1728 divisors, whose sum is σ = 4919790919680. Its totient is φ = 238639841280.

The previous prime is 1137717884153. The next prime is 1137717884161. The reversal of 1137717884160 is 614887177311.

1137717884160 is a `hidden beast` number, since 1 + 1 + 377 + 178 + 8 + 41 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1137717884097 and 1137717884106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137717884161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5101873809 + ... + 5101874031.

Almost surely, 2^{1137717884160} is an apocalyptic number.

1137717884160 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 1137717884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459895459840).

1137717884160 is an abundant number, since it is smaller than the sum of its proper divisors (3782073035520).

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

1137717884160 is a wasteful number, since it uses less digits than its factorization.

1137717884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 1137717884160 in words is "one trillion, one hundred thirty-seven billion, seven hundred seventeen million, eight hundred eighty-four thousand, one hundred sixty".