38089702057680 has 2400 divisors, whose sum is σ = 168772581863424. Its totient is φ = 7890379112448.

The previous prime is 38089702057639. The next prime is 38089702057861. The reversal of 38089702057680 is 8675020798083.

38089702057680 is a `hidden beast` number, since 38 + 0 + 8 + 9 + 7 + 0 + 20 + 576 + 8 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 59237483439 + ... + 59237484081.

Almost surely, 2^{38089702057680} is an apocalyptic number.

38089702057680 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 38089702057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84386290931712).

38089702057680 is an abundant number, since it is smaller than the sum of its proper divisors (130682879805744).

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

38089702057680 is a wasteful number, since it uses less digits than its factorization.

38089702057680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 38089702057680 in words is "thirty-eight trillion, eighty-nine billion, seven hundred two million, fifty-seven thousand, six hundred eighty".