5060061000900 has 432 divisors, whose sum is σ = 17027797026240. Its totient is φ = 1301846515200.

The previous prime is 5060061000859. The next prime is 5060061000901. The reversal of 5060061000900 is 90001600605.

5060061000900 is a `hidden beast` number, since 50 + 600 + 6 + 1 + 0 + 0 + 0 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5060061000901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1783594282 + ... + 1783597118.

It is an arithmetic number, because the mean of its divisors is an integer number (39416196820).

Almost surely, 2^{5060061000900} is an apocalyptic number.

5060061000900 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 5060061000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513898513120).

5060061000900 is an abundant number, since it is smaller than the sum of its proper divisors (11967736025340).

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

5060061000900 is a wasteful number, since it uses less digits than its factorization.

5060061000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5426 (or 5407 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 5060061000900 in words is "five trillion, sixty billion, sixty-one million, nine hundred", and thus it is an aban number.