38153285945280 has 448 divisors, whose sum is σ = 153216366566400. Its totient is φ = 8847138263040.

The previous prime is 38153285945279. The next prime is 38153285945287. The reversal of 38153285945280 is 8254958235183.

It is a happy number.

38153285945280 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 32 + 8 + 594 + 5 + 2 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38153285945287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6541135 + ... + 10912974.

Almost surely, 2^{38153285945280} is an apocalyptic number.

38153285945280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38153285945280 is an abundant number, since it is smaller than the sum of its proper divisors (115063080621120).

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

38153285945280 is a wasteful number, since it uses less digits than its factorization.

38153285945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17454169 (or 17454153 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 38153285945280 in words is "thirty-eight trillion, one hundred fifty-three billion, two hundred eighty-five million, nine hundred forty-five thousand, two hundred eighty".