38150258688000 has 2880 divisors, whose sum is σ = 160322045083200. Its totient is φ = 8969099673600.

The previous prime is 38150258687999. The next prime is 38150258688037. The reversal of 38150258688000 is 88685205183.

It is a happy number.

38150258688000 is a `hidden beast` number, since 3 + 8 + 1 + 50 + 2 + 586 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×38150258688000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 428654591956 + ... + 428654592044.

It is an arithmetic number, because the mean of its divisors is an integer number (55667376765).

Almost surely, 2^{38150258688000} is an apocalyptic number.

38150258688000 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 38150258688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80161022541600).

38150258688000 is an abundant number, since it is smaller than the sum of its proper divisors (122171786395200).

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

38150258688000 is an frugal number, since it uses more digits than its factorization.

38150258688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 38150258688000 in words is "thirty-eight trillion, one hundred fifty billion, two hundred fifty-eight million, six hundred eighty-eight thousand".