5234951106000 has 1600 divisors, whose sum is σ = 23668989087744. Its totient is φ = 1083445632000.

The previous prime is 5234951105987. The next prime is 5234951106031. The reversal of 5234951106000 is 6011594325.

5234951106000 is a `hidden beast` number, since 5 + 2 + 3 + 49 + 5 + 1 + 1 + 0 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3829517317 + ... + 3829518683.

Almost surely, 2^{5234951106000} is an apocalyptic number.

5234951106000 is a gapful number since it is divisible by the number (50) 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 5234951106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11834494543872).

5234951106000 is an abundant number, since it is smaller than the sum of its proper divisors (18434037981744).

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

5234951106000 is a wasteful number, since it uses less digits than its factorization.

5234951106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 5234951106000 in words is "five trillion, two hundred thirty-four billion, nine hundred fifty-one million, one hundred six thousand".