85119371624448 has 2160 divisors, whose sum is σ = 309902694541440. Its totient is φ = 23260289826816.

The previous prime is 85119371624431. The next prime is 85119371624479. The reversal of 85119371624448 is 84442617391158.

It is a happy number.

85119371624448 is a `hidden beast` number, since 8 + 5 + 1 + 19 + 371 + 6 + 244 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 612369579963 + ... + 612369580101.

Almost surely, 2^{85119371624448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85119371624448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154951347270720).

85119371624448 is an abundant number, since it is smaller than the sum of its proper divisors (224783322916992).

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

85119371624448 is an equidigital number, since it uses as much as digits as its factorization.

85119371624448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 267 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 85119371624448 in words is "eighty-five trillion, one hundred nineteen billion, three hundred seventy-one million, six hundred twenty-four thousand, four hundred forty-eight".