81954141393280 has 512 divisors, whose sum is σ = 218604843072000. Its totient is φ = 29188176740352.

The previous prime is 81954141393253. The next prime is 81954141393337. The reversal of 81954141393280 is 8239314145918.

It is a super-4 number, since 4×81954141393280⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9597623251 + ... + 9597631789.

It is an arithmetic number, because the mean of its divisors is an integer number (426962584125).

Almost surely, 2^{81954141393280} is an apocalyptic number.

81954141393280 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 81954141393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109302421536000).

81954141393280 is an abundant number, since it is smaller than the sum of its proper divisors (136650701678720).

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

81954141393280 is a wasteful number, since it uses less digits than its factorization.

81954141393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8946 (or 8934 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 81954141393280 in words is "eighty-one trillion, nine hundred fifty-four billion, one hundred forty-one million, three hundred ninety-three thousand, two hundred eighty".