1137808425600 has 2304 divisors, whose sum is σ = 5427412623360. Its totient is φ = 228427776000.

The previous prime is 1137808425587. The next prime is 1137808425617. The reversal of 1137808425600 is 65248087311.

1137808425600 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 8 + 0 + 84 + 2 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1856130894 + ... + 1856131506.

It is an arithmetic number, because the mean of its divisors is an integer number (2355647840).

Almost surely, 2^{1137808425600} is an apocalyptic number.

1137808425600 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 1137808425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713706311680).

1137808425600 is an abundant number, since it is smaller than the sum of its proper divisors (4289604197760).

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

1137808425600 is a wasteful number, since it uses less digits than its factorization.

1137808425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1137808425600 in words is "one trillion, one hundred thirty-seven billion, eight hundred eight million, four hundred twenty-five thousand, six hundred".