85146055380 has 144 divisors (see below), whose sum is σ = 266270868864. Its totient is φ = 22007496960.

The previous prime is 85146055367. The next prime is 85146055409. The reversal of 85146055380 is 8355064158.

85146055380 is a `hidden beast` number, since 8 + 5 + 1 + 4 + 605 + 5 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1727275 + ... + 1775885.

It is an arithmetic number, because the mean of its divisors is an integer number (1849103256).

Almost surely, 2^85146055380 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 85146055380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133135434432).

85146055380 is an abundant number, since it is smaller than the sum of its proper divisors (181124813484).

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

85146055380 is a wasteful number, since it uses less digits than its factorization.

85146055380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48926 (or 48921 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 85146055380 in words is "eighty-five billion, one hundred forty-six million, fifty-five thousand, three hundred eighty".