5102416281600 has 2700 divisors, whose sum is σ = 21970232606784. Its totient is φ = 1167851520000.

The previous prime is 5102416281581. The next prime is 5102416281607. The reversal of 5102416281600 is 61826142015.

It is a happy number.

5102416281600 is a `hidden beast` number, since 5 + 1 + 0 + 2 + 41 + 6 + 2 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102416281607) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 124449177580 + ... + 124449177620.

Almost surely, 2^{5102416281600} is an apocalyptic number.

5102416281600 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 5102416281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10985116303392).

5102416281600 is an abundant number, since it is smaller than the sum of its proper divisors (16867816325184).

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

5102416281600 is a wasteful number, since it uses less digits than its factorization.

5102416281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 93 counting only the distinct ones).

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

The spelling of 5102416281600 in words is "five trillion, one hundred two billion, four hundred sixteen million, two hundred eighty-one thousand, six hundred".