5101148395980 has 288 divisors, whose sum is σ = 19050603062400. Its totient is φ = 1075929329664.

The previous prime is 5101148395961. The next prime is 5101148395999. The reversal of 5101148395980 is 895938411015.

It is a happy number.

5101148395980 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 1 + 48 + 3 + 9 + 598 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5101148395961) and next prime (5101148395999).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50875336 + ... + 50975504.

It is an arithmetic number, because the mean of its divisors is an integer number (66147927300).

Almost surely, 2^{5101148395980} 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 5101148395980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525301531200).

5101148395980 is an abundant number, since it is smaller than the sum of its proper divisors (13949454666420).

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

5101148395980 is a wasteful number, since it uses less digits than its factorization.

5101148395980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103313 (or 103308 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 5101148395980 in words is "five trillion, one hundred one billion, one hundred forty-eight million, three hundred ninety-five thousand, nine hundred eighty".