5101511015040 has 256 divisors, whose sum is σ = 17858412144000. Its totient is φ = 1228428984320.

The previous prime is 5101511015011. The next prime is 5101511015059. The reversal of 5101511015040 is 405101151015.

It is a super-2 number, since 2×5101511015040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5101511015040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2336314 + ... + 3957446.

Almost surely, 2^{5101511015040} 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 5101511015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8929206072000).

5101511015040 is an abundant number, since it is smaller than the sum of its proper divisors (12756901128960).

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

5101511015040 is a wasteful number, since it uses less digits than its factorization.

5101511015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621315 (or 1621303 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 24.

Adding to 5101511015040 its reverse (405101151015), we get a palindrome (5506612166055).

The spelling of 5101511015040 in words is "five trillion, one hundred one billion, five hundred eleven million, fifteen thousand, forty".