5094136101600 has 1728 divisors, whose sum is σ = 24642132802560. Its totient is φ = 958301798400.

The previous prime is 5094136101503. The next prime is 5094136101611. The reversal of 5094136101600 is 61016314905.

5094136101600 is a `hidden beast` number, since 5 + 0 + 9 + 4 + 1 + 36 + 10 + 1 + 600 = 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 287 ways as a sum of consecutive naturals, for example, 211617565 + ... + 211641635.

It is an arithmetic number, because the mean of its divisors is an integer number (14260493520).

Almost surely, 2^{5094136101600} is an apocalyptic number.

5094136101600 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 5094136101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12321066401280).

5094136101600 is an abundant number, since it is smaller than the sum of its proper divisors (19547996700960).

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

5094136101600 is a wasteful number, since it uses less digits than its factorization.

5094136101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24153 (or 24137 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 5094136101600 in words is "five trillion, ninety-four billion, one hundred thirty-six million, one hundred one thousand, six hundred".