38753971222512 has 960 divisors, whose sum is σ = 135861064335360. Its totient is φ = 9407272089600.

The previous prime is 38753971222501. The next prime is 38753971222591. The reversal of 38753971222512 is 21522217935783.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3902318187 + ... + 3902328117.

It is an arithmetic number, because the mean of its divisors is an integer number (141521942016).

Almost surely, 2^{38753971222512} 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 38753971222512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67930532167680).

38753971222512 is an abundant number, since it is smaller than the sum of its proper divisors (97107093112848).

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

38753971222512 is a wasteful number, since it uses less digits than its factorization.

38753971222512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202 (or 10189 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 57.

The spelling of 38753971222512 in words is "thirty-eight trillion, seven hundred fifty-three billion, nine hundred seventy-one million, two hundred twenty-two thousand, five hundred twelve".