1138571523360 has 576 divisors, whose sum is σ = 4145109800832. Its totient is φ = 294967443456.

The previous prime is 1138571523337. The next prime is 1138571523373. The reversal of 1138571523360 is 633251758311.

1138571523360 is a `hidden beast` number, since 1 + 13 + 8 + 57 + 1 + 523 + 3 + 60 = 666.

It is a super-2 number, since 2×1138571523360² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 329350752 + ... + 329354208.

It is an arithmetic number, because the mean of its divisors is an integer number (7196371182).

Almost surely, 2^{1138571523360} is an apocalyptic number.

1138571523360 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 1138571523360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072554900416).

1138571523360 is an abundant number, since it is smaller than the sum of its proper divisors (3006538277472).

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

1138571523360 is a wasteful number, since it uses less digits than its factorization.

1138571523360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1138571523360 in words is "one trillion, one hundred thirty-eight billion, five hundred seventy-one million, five hundred twenty-three thousand, three hundred sixty".