1137912652800 has 2970 divisors, whose sum is σ = 5531719419954. Its totient is φ = 222540595200.

The previous prime is 1137912652759. The next prime is 1137912652813. The reversal of 1137912652800 is 82562197311.

1137912652800 is a `hidden beast` number, since 1 + 1 + 37 + 91 + 2 + 6 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 171356258304 + 966556394496 = 413952^2 + 983136^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 66936038392 + ... + 66936038408.

Almost surely, 2^{1137912652800} is an apocalyptic number.

1137912652800 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 1137912652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765859709977).

1137912652800 is an abundant number, since it is smaller than the sum of its proper divisors (4393806767154).

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

1137912652800 is a wasteful number, since it uses less digits than its factorization.

1137912652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1137912652800 in words is "one trillion, one hundred thirty-seven billion, nine hundred twelve million, six hundred fifty-two thousand, eight hundred".