38542210560 has 960 divisors, whose sum is σ = 162151621632. Its totient is φ = 8591671296.

The previous prime is 38542210549. The next prime is 38542210607. The reversal of 38542210560 is 6501224583.

38542210560 is a `hidden beast` number, since 3 + 8 + 542 + 2 + 105 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230791597 + ... + 230791763.

Almost surely, 2^38542210560 is an apocalyptic number.

38542210560 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 38542210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81075810816).

38542210560 is an abundant number, since it is smaller than the sum of its proper divisors (123609411072).

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

38542210560 is an equidigital number, since it uses as much as digits as its factorization.

38542210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 38542210560 in words is "thirty-eight billion, five hundred forty-two million, two hundred ten thousand, five hundred sixty".