85296320640 has 384 divisors, whose sum is σ = 308126332800. Its totient is φ = 21701492736.

The previous prime is 85296320623. The next prime is 85296320653. The reversal of 85296320640 is 4602369258.

85296320640 is a `hidden beast` number, since 8 + 5 + 2 + 9 + 632 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87303832 + ... + 87304808.

It is an arithmetic number, because the mean of its divisors is an integer number (802412325).

Almost surely, 2^85296320640 is an apocalyptic number.

85296320640 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 85296320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154063166400).

85296320640 is an abundant number, since it is smaller than the sum of its proper divisors (222830012160).

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

85296320640 is a wasteful number, since it uses less digits than its factorization.

85296320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 85296320640 its reverse (4602369258), we get a palindrome (89898689898).

The spelling of 85296320640 in words is "eighty-five billion, two hundred ninety-six million, three hundred twenty thousand, six hundred forty".