38550093400000 has 2016 divisors, whose sum is σ = 127079750375424. Its totient is φ = 11481523200000.

The previous prime is 38550093399973. The next prime is 38550093400019. The reversal of 38550093400000 is 439005583.

It is a super-2 number, since 2×38550093400000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 169824199887 + ... + 169824200113.

It is an arithmetic number, because the mean of its divisors is an integer number (63035590464).

Almost surely, 2^{38550093400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38550093400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63539875187712).

38550093400000 is an abundant number, since it is smaller than the sum of its proper divisors (88529656975424).

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

38550093400000 is a wasteful number, since it uses less digits than its factorization.

38550093400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 38550093400000 in words is "thirty-eight trillion, five hundred fifty billion, ninety-three million, four hundred thousand".