85412980097280 has 1728 divisors, whose sum is σ = 349816970280960. Its totient is φ = 19020718080000.

The previous prime is 85412980097279. The next prime is 85412980097311. The reversal of 85412980097280 is 8279008921458.

85412980097280 is a `hidden beast` number, since 8 + 541 + 2 + 9 + 8 + 0 + 0 + 9 + 7 + 2 + 80 = 666.

85412980097280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×85412980097280³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10427657985 + ... + 10427666175.

It is an arithmetic number, because the mean of its divisors is an integer number (202440376320).

Almost surely, 2^{85412980097280} is an apocalyptic number.

85412980097280 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 85412980097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174908485140480).

85412980097280 is an abundant number, since it is smaller than the sum of its proper divisors (264403990183680).

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

85412980097280 is a wasteful number, since it uses less digits than its factorization.

85412980097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8380 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 85412980097280 in words is "eighty-five trillion, four hundred twelve billion, nine hundred eighty million, ninety-seven thousand, two hundred eighty".