38513617560 has 480 divisors, whose sum is σ = 146922652800. Its totient is φ = 9032601600.

The previous prime is 38513617547. The next prime is 38513617621. The reversal of 38513617560 is 6571631583.

38513617560 is a `hidden beast` number, since 3 + 8 + 51 + 36 + 1 + 7 + 560 = 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 119 ways as a sum of consecutive naturals, for example, 12151656 + ... + 12154824.

It is an arithmetic number, because the mean of its divisors is an integer number (306088860).

Almost surely, 2^38513617560 is an apocalyptic number.

38513617560 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 38513617560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73461326400).

38513617560 is an abundant number, since it is smaller than the sum of its proper divisors (108409035240).

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

38513617560 is a wasteful number, since it uses less digits than its factorization.

38513617560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 38513617560 in words is "thirty-eight billion, five hundred thirteen million, six hundred seventeen thousand, five hundred sixty".