6121838520 has 384 divisors, whose sum is σ = 24562440000. Its totient is φ = 1350687744.

The previous prime is 6121838519. The next prime is 6121838581. The reversal of 6121838520 is 258381216.

It is a happy number.

6121838520 is a `hidden beast` number, since 6 + 121 + 8 + 3 + 8 + 520 = 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 95 ways as a sum of consecutive naturals, for example, 1532686 + ... + 1536674.

Almost surely, 2^6121838520 is an apocalyptic number.

6121838520 is a gapful number since it is divisible by the number (60) 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 6121838520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12281220000).

6121838520 is an abundant number, since it is smaller than the sum of its proper divisors (18440601480).

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

6121838520 is a wasteful number, since it uses less digits than its factorization.

6121838520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6121838520 is about 78242.1786506485. The cubic root of 6121838520 is about 1829.3380029614.

The spelling of 6121838520 in words is "six billion, one hundred twenty-one million, eight hundred thirty-eight thousand, five hundred twenty".