81403172519760 has 2880 divisors, whose sum is σ = 369831529267200. Its totient is φ = 15651333734400.

The previous prime is 81403172519707. The next prime is 81403172519771. The reversal of 81403172519760 is 6791527130418.

81403172519760 is a `hidden beast` number, since 8 + 1 + 4 + 0 + 317 + 251 + 9 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81403172519697 and 81403172519706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 105855880656 + ... + 105855881424.

It is an arithmetic number, because the mean of its divisors is an integer number (128413725440).

It is a 1-persistent number, because it is pandigital, but 2⋅81403172519760 = 162806345039520 is not.

Almost surely, 2^{81403172519760} is an apocalyptic number.

81403172519760 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 81403172519760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184915764633600).

81403172519760 is an abundant number, since it is smaller than the sum of its proper divisors (288428356747440).

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

81403172519760 is a wasteful number, since it uses less digits than its factorization.

81403172519760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 81403172519760 in words is "eighty-one trillion, four hundred three billion, one hundred seventy-two million, five hundred nineteen thousand, seven hundred sixty".