85280791680 has 1728 divisors, whose sum is σ = 387028212480. Its totient is φ = 17871114240.

The previous prime is 85280791667. The next prime is 85280791697. The reversal of 85280791680 is 8619708258.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2750993265 + ... + 2750993295.

It is an arithmetic number, because the mean of its divisors is an integer number (223974660).

Almost surely, 2^85280791680 is an apocalyptic number.

85280791680 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 85280791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193514106240).

85280791680 is an abundant number, since it is smaller than the sum of its proper divisors (301747420800).

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

85280791680 is a wasteful number, since it uses less digits than its factorization.

85280791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 85280791680 in words is "eighty-five billion, two hundred eighty million, seven hundred ninety-one thousand, six hundred eighty".