85619750274000 has 3200 divisors, whose sum is σ = 349453290700800. Its totient is φ = 20106571161600.

The previous prime is 85619750273989. The next prime is 85619750274017. The reversal of 85619750274000 is 47205791658.

85619750274000 is a `hidden beast` number, since 8 + 5 + 6 + 1 + 97 + 502 + 7 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 674171261937 + ... + 674171262063.

It is an arithmetic number, because the mean of its divisors is an integer number (109204153344).

Almost surely, 2^{85619750274000} is an apocalyptic number.

85619750274000 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 85619750274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174726645350400).

85619750274000 is an abundant number, since it is smaller than the sum of its proper divisors (263833540426800).

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

85619750274000 is a wasteful number, since it uses less digits than its factorization.

85619750274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 85619750274000 in words is "eighty-five trillion, six hundred nineteen billion, seven hundred fifty million, two hundred seventy-four thousand".