5103942701760 has 1792 divisors, whose sum is σ = 22106745077760. Its totient is φ = 1083912192000.

The previous prime is 5103942701647. The next prime is 5103942701783. The reversal of 5103942701760 is 671072493015.

5103942701760 is a `hidden beast` number, since 51 + 0 + 3 + 9 + 427 + 0 + 176 + 0 = 666.

It is a super-2 number, since 2×5103942701760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5150294865 + ... + 5150295855.

It is an arithmetic number, because the mean of its divisors is an integer number (12336353280).

Almost surely, 2^{5103942701760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5103942701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11053372538880).

5103942701760 is an abundant number, since it is smaller than the sum of its proper divisors (17002802376000).

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

5103942701760 is a wasteful number, since it uses less digits than its factorization.

5103942701760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 5103942701760 in words is "five trillion, one hundred three billion, nine hundred forty-two million, seven hundred one thousand, seven hundred sixty".