1137582873560 has 256 divisors, whose sum is σ = 3066232320000. Its totient is φ = 371600216064.

The previous prime is 1137582873533. The next prime is 1137582873577. The reversal of 1137582873560 is 653782857311.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 1137582873496 and 1137582873505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447337649 + ... + 447340191.

It is an arithmetic number, because the mean of its divisors is an integer number (11977470000).

Almost surely, 2^{1137582873560} is an apocalyptic number.

1137582873560 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 1137582873560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533116160000).

1137582873560 is an abundant number, since it is smaller than the sum of its proper divisors (1928649446440).

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

1137582873560 is a wasteful number, since it uses less digits than its factorization.

1137582873560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 1137582873560 in words is "one trillion, one hundred thirty-seven billion, five hundred eighty-two million, eight hundred seventy-three thousand, five hundred sixty".