85219468311040 has 320 divisors, whose sum is σ = 236575950741504. Its totient is φ = 28837693882368.

The previous prime is 85219468310971. The next prime is 85219468311049. The reversal of 85219468311040 is 4011386491258.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (85219468311049) 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, 439140112 + ... + 439334128.

Almost surely, 2^{85219468311040} is an apocalyptic number.

85219468311040 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 85219468311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118287975370752).

85219468311040 is an abundant number, since it is smaller than the sum of its proper divisors (151356482430464).

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

85219468311040 is a wasteful number, since it uses less digits than its factorization.

85219468311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194367 (or 194351 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 85219468311040 in words is "eighty-five trillion, two hundred nineteen billion, four hundred sixty-eight million, three hundred eleven thousand, forty".