162786085862400 has 12672 divisors, whose sum is σ = 904204377216000. Its totient is φ = 28092137472000.

The previous prime is 162786085862329. The next prime is 162786085862431. The reversal of 162786085862400 is 4268580687261.

162786085862400 is a `hidden beast` number, since 1 + 6 + 2 + 7 + 8 + 6 + 0 + 8 + 586 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (12672).

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

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2668624358370 + ... + 2668624358430.

Almost surely, 2^{162786085862400} is an apocalyptic number.

162786085862400 is a gapful number since it is divisible by the number (10) 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 162786085862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452102188608000).

162786085862400 is an abundant number, since it is smaller than the sum of its proper divisors (741418291353600).

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

162786085862400 is a wasteful number, since it uses less digits than its factorization.

162786085862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 162786085862400 in words is "one hundred sixty-two trillion, seven hundred eighty-six billion, eighty-five million, eight hundred sixty-two thousand, four hundred".