38504662560 has 648 divisors, whose sum is σ = 165563126820. Its totient is φ = 8121544704.

The previous prime is 38504662531. The next prime is 38504662571. The reversal of 38504662560 is 6526640583.

38504662560 is a `hidden beast` number, since 3 + 8 + 504 + 66 + 25 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1856920464 + 36647742096 = 43092^2 + 191436^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11923026 + ... + 11926254.

Almost surely, 2^38504662560 is an apocalyptic number.

38504662560 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 38504662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82781563410).

38504662560 is an abundant number, since it is smaller than the sum of its proper divisors (127058464260).

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

38504662560 is a wasteful number, since it uses less digits than its factorization.

38504662560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 38504662560 in words is "thirty-eight billion, five hundred four million, six hundred sixty-two thousand, five hundred sixty".