85119915371400 has 768 divisors, whose sum is σ = 360941073292800. Its totient is φ = 17954846208000.

The previous prime is 85119915371329. The next prime is 85119915371461. The reversal of 85119915371400 is 417351991158.

85119915371400 is a `hidden beast` number, since 8 + 5 + 1 + 1 + 9 + 91 + 537 + 14 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2172459810 + ... + 2172498990.

It is an arithmetic number, because the mean of its divisors is an integer number (469975355850).

Almost surely, 2^{85119915371400} 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 85119915371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180470536646400).

85119915371400 is an abundant number, since it is smaller than the sum of its proper divisors (275821157921400).

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

85119915371400 is a wasteful number, since it uses less digits than its factorization.

85119915371400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43647 (or 43632 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 85119915371400 in words is "eighty-five trillion, one hundred nineteen billion, nine hundred fifteen million, three hundred seventy-one thousand, four hundred".