1582138736640 has 2160 divisors, whose sum is σ = 7309253427840. Its totient is φ = 307180339200.

The previous prime is 1582138736627. The next prime is 1582138736719. The reversal of 1582138736640 is 466378312851.

1582138736640 is a `hidden beast` number, since 1 + 582 + 13 + 8 + 7 + 3 + 6 + 6 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51036733425 + ... + 51036733455.

It is an arithmetic number, because the mean of its divisors is an integer number (3383913624).

Almost surely, 2^{1582138736640} is an apocalyptic number.

1582138736640 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 1582138736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654626713920).

1582138736640 is an abundant number, since it is smaller than the sum of its proper divisors (5727114691200).

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

1582138736640 is a wasteful number, since it uses less digits than its factorization.

1582138736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1582138736640 in words is "one trillion, five hundred eighty-two billion, one hundred thirty-eight million, seven hundred thirty-six thousand, six hundred forty".