85380203520 has 352 divisors, whose sum is σ = 304342064640. Its totient is φ = 22699376640.

The previous prime is 85380203443. The next prime is 85380203527. The reversal of 85380203520 is 2530208358.

85380203520 is a `hidden beast` number, since 8 + 53 + 80 + 2 + 0 + 3 + 520 = 666.

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 (85380203527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59580724 + ... + 59582156.

Almost surely, 2^85380203520 is an apocalyptic number.

85380203520 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 85380203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152171032320).

85380203520 is an abundant number, since it is smaller than the sum of its proper divisors (218961861120).

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

85380203520 is a wasteful number, since it uses less digits than its factorization.

85380203520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 85380203520 in words is "eighty-five billion, three hundred eighty million, two hundred three thousand, five hundred twenty".