38054062080000 has 1800 divisors, whose sum is σ = 147455907030432. Its totient is φ = 9419882496000.

The previous prime is 38054062079861. The next prime is 38054062080037. The reversal of 38054062080000 is 8026045083.

38054062080000 is a `hidden beast` number, since 38 + 0 + 540 + 6 + 2 + 0 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×38054062080000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 167639039887 + ... + 167639040113.

Almost surely, 2^{38054062080000} is an apocalyptic number.

38054062080000 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 38054062080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73727953515216).

38054062080000 is an abundant number, since it is smaller than the sum of its proper divisors (109401844950432).

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

38054062080000 is a wasteful number, since it uses less digits than its factorization.

38054062080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 38054062080000 in words is "thirty-eight trillion, fifty-four billion, sixty-two million, eighty thousand".