1137020068800 has 2520 divisors, whose sum is σ = 5446772665488. Its totient is φ = 229920768000.

The previous prime is 1137020068787. The next prime is 1137020068829. The reversal of 1137020068800 is 88600207311.

1137020068800 is a `hidden beast` number, since 1 + 1 + 370 + 200 + 6 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2864030202 + ... + 2864030598.

Almost surely, 2^{1137020068800} is an apocalyptic number.

1137020068800 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 1137020068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723386332744).

1137020068800 is an abundant number, since it is smaller than the sum of its proper divisors (4309752596688).

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

1137020068800 is a wasteful number, since it uses less digits than its factorization.

1137020068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1137020068800 in words is "one trillion, one hundred thirty-seven billion, twenty million, sixty-eight thousand, eight hundred".