85973091120 has 480 divisors, whose sum is σ = 355602954240. Its totient is φ = 19016363520.

The previous prime is 85973091103. The next prime is 85973091137. The reversal of 85973091120 is 2119037958.

85973091120 is a `hidden beast` number, since 8 + 597 + 30 + 9 + 1 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (85973091103) and next prime (85973091137).

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 95 ways as a sum of consecutive naturals, for example, 3267939 + ... + 3294141.

It is an arithmetic number, because the mean of its divisors is an integer number (740839488).

Almost surely, 2^85973091120 is an apocalyptic number.

85973091120 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 85973091120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177801477120).

85973091120 is an abundant number, since it is smaller than the sum of its proper divisors (269629863120).

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

85973091120 is a wasteful number, since it uses less digits than its factorization.

85973091120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26270 (or 26251 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 85973091120 in words is "eighty-five billion, nine hundred seventy-three million, ninety-one thousand, one hundred twenty".