939109000536 has 768 divisors, whose sum is σ = 3148104960000. Its totient is φ = 247311138816.

The previous prime is 939109000523. The next prime is 939109000541. The reversal of 939109000536 is 635000901939.

939109000536 is a `hidden beast` number, since 9 + 3 + 9 + 109 + 0 + 0 + 0 + 536 = 666.

It is a super-3 number, since 3×939109000536³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 939109000491 and 939109000500.

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, 8615678850 + ... + 8615678958.

It is an arithmetic number, because the mean of its divisors is an integer number (4099095000).

Almost surely, 2^939109000536 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 939109000536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574052480000).

939109000536 is an abundant number, since it is smaller than the sum of its proper divisors (2208995959464).

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

939109000536 is a wasteful number, since it uses less digits than its factorization.

939109000536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The spelling of 939109000536 in words is "nine hundred thirty-nine billion, one hundred nine million, five hundred thirty-six", and thus it is an aban number.