1137566298240 has 768 divisors, whose sum is σ = 4235051260800. Its totient is φ = 288495820800.

The previous prime is 1137566298223. The next prime is 1137566298257. The reversal of 1137566298240 is 428926657311.

It is a happy number.

1137566298240 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 5 + 6 + 629 + 8 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1137566298223) and next prime (1137566298257).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1012970319 + ... + 1012971441.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1137566298240 = 2275132596480, but 3⋅1137566298240 = 3412698894720 is not.

Almost surely, 2^{1137566298240} is an apocalyptic number.

1137566298240 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 1137566298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117525630400).

1137566298240 is an abundant number, since it is smaller than the sum of its proper divisors (3097484962560).

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

1137566298240 is a wasteful number, since it uses less digits than its factorization.

1137566298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1137566298240 in words is "one trillion, one hundred thirty-seven billion, five hundred sixty-six million, two hundred ninety-eight thousand, two hundred forty".