38153311156800 has 5040 divisors, whose sum is σ = 179551902942720. Its totient is φ = 7900913664000.

The previous prime is 38153311156789. The next prime is 38153311156901. The reversal of 38153311156800 is 865111335183.

38153311156800 is a `hidden beast` number, since 3 + 8 + 1 + 53 + 31 + 1 + 1 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 719 ways as a sum of consecutive naturals, for example, 234069393519 + ... + 234069393681.

It is an arithmetic number, because the mean of its divisors is an integer number (35625377568).

Almost surely, 2^{38153311156800} is an apocalyptic number.

38153311156800 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 38153311156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89775951471360).

38153311156800 is an abundant number, since it is smaller than the sum of its proper divisors (141398591785920).

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

38153311156800 is a wasteful number, since it uses less digits than its factorization.

38153311156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 38153311156800 in words is "thirty-eight trillion, one hundred fifty-three billion, three hundred eleven million, one hundred fifty-six thousand, eight hundred".