1137247856640 has 576 divisors, whose sum is σ = 4518798036480. Its totient is φ = 259121479680.

The previous prime is 1137247856623. The next prime is 1137247856663. The reversal of 1137247856640 is 466587427311.

1137247856640 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 2 + 4 + 78 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217402825 + ... + 217408055.

It is an arithmetic number, because the mean of its divisors is an integer number (7845135480).

Almost surely, 2^{1137247856640} is an apocalyptic number.

1137247856640 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 1137247856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259399018240).

1137247856640 is an abundant number, since it is smaller than the sum of its proper divisors (3381550179840).

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

1137247856640 is a wasteful number, since it uses less digits than its factorization.

1137247856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1137247856640 in words is "one trillion, one hundred thirty-seven billion, two hundred forty-seven million, eight hundred fifty-six thousand, six hundred forty".