1137898782720 has 896 divisors, whose sum is σ = 4682866862880. Its totient is φ = 259900047360.

The previous prime is 1137898782667. The next prime is 1137898782739. The reversal of 1137898782720 is 272878987311.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 836074840 + ... + 836076200.

Almost surely, 2^{1137898782720} is an apocalyptic number.

1137898782720 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 1137898782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341433431440).

1137898782720 is an abundant number, since it is smaller than the sum of its proper divisors (3544968080160).

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

1137898782720 is an frugal number, since it uses more digits than its factorization.

1137898782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 1137898782720 in words is "one trillion, one hundred thirty-seven billion, eight hundred ninety-eight million, seven hundred eighty-two thousand, seven hundred twenty".