38253367152000 has 3072 divisors, whose sum is σ = 191301752678400. Its totient is φ = 7336562688000.

The previous prime is 38253367151969. The next prime is 38253367152017. The reversal of 38253367152000 is 25176335283.

38253367152000 is a `hidden beast` number, since 3 + 8 + 2 + 53 + 3 + 6 + 71 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×38253367152000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 3891883086 + ... + 3891892914.

It is an arithmetic number, because the mean of its divisors is an integer number (62272705950).

Almost surely, 2^{38253367152000} is an apocalyptic number.

38253367152000 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 38253367152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95650876339200).

38253367152000 is an abundant number, since it is smaller than the sum of its proper divisors (153048385526400).

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

38253367152000 is a wasteful number, since it uses less digits than its factorization.

38253367152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9904 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 38253367152000 in words is "thirty-eight trillion, two hundred fifty-three billion, three hundred sixty-seven million, one hundred fifty-two thousand".