85401922320 has 960 divisors, whose sum is σ = 361064890368. Its totient is φ = 18475776000.

The previous prime is 85401922297. The next prime is 85401922327. The reversal of 85401922320 is 2322910458.

It is a happy number.

85401922320 is a `hidden beast` number, since 8 + 5 + 401 + 9 + 223 + 20 = 666.

It is a super-3 number, since 3×85401922320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85401922327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86177025 + ... + 86178015.

Almost surely, 2^85401922320 is an apocalyptic number.

85401922320 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 85401922320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180532445184).

85401922320 is an abundant number, since it is smaller than the sum of its proper divisors (275662968048).

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

85401922320 is a wasteful number, since it uses less digits than its factorization.

85401922320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 85401922320 in words is "eighty-five billion, four hundred one million, nine hundred twenty-two thousand, three hundred twenty".