38162698885080 has 1536 divisors, whose sum is σ = 163721510184960. Its totient is φ = 7764334755840.

The previous prime is 38162698885063. The next prime is 38162698885109. The reversal of 38162698885080 is 8058889626183.

38162698885080 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 26 + 98 + 8 + 8 + 508 + 0 = 666.

38162698885080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34788239092 + ... + 34788240188.

It is an arithmetic number, because the mean of its divisors is an integer number (106589524860).

Almost surely, 2^{38162698885080} is an apocalyptic number.

38162698885080 is a gapful number since it is divisible by the number (30) 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 38162698885080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81860755092480).

38162698885080 is an abundant number, since it is smaller than the sum of its proper divisors (125558811299880).

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

38162698885080 is a wasteful number, since it uses less digits than its factorization.

38162698885080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 38162698885080 in words is "thirty-eight trillion, one hundred sixty-two billion, six hundred ninety-eight million, eight hundred eighty-five thousand, eighty".