81750710585040 has 640 divisors, whose sum is σ = 308764632084480. Its totient is φ = 17477926502400.

The previous prime is 81750710584999. The next prime is 81750710585111. The reversal of 81750710585040 is 4058501705718.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 823709820 + ... + 823809060.

It is an arithmetic number, because the mean of its divisors is an integer number (482444737632).

Almost surely, 2^{81750710585040} is an apocalyptic number.

81750710585040 is a gapful number since it is divisible by the number (80) 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 81750710585040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154382316042240).

81750710585040 is an abundant number, since it is smaller than the sum of its proper divisors (227013921499440).

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

81750710585040 is a wasteful number, since it uses less digits than its factorization.

81750710585040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99611 (or 99605 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 51.

The spelling of 81750710585040 in words is "eighty-one trillion, seven hundred fifty billion, seven hundred ten million, five hundred eighty-five thousand, forty".