5102960239104 has 1920 divisors, whose sum is σ = 19043906112000. Its totient is φ = 1197673021440.

The previous prime is 5102960239099. The next prime is 5102960239151. The reversal of 5102960239104 is 4019320692015.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34248055222 + ... + 34248055370.

It is an arithmetic number, because the mean of its divisors is an integer number (9918701100).

Almost surely, 2^{5102960239104} 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 5102960239104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521953056000).

5102960239104 is an abundant number, since it is smaller than the sum of its proper divisors (13940945872896).

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

5102960239104 is a wasteful number, since it uses less digits than its factorization.

5102960239104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 5102960239104 in words is "five trillion, one hundred two billion, nine hundred sixty million, two hundred thirty-nine thousand, one hundred four".