5095025040 has 160 divisors (see below), whose sum is σ = 18074200320. Its totient is φ = 1163077632.

The previous prime is 5095025027. The next prime is 5095025053. The reversal of 5095025040 is 405205905.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5095025027) and next prime (5095025053).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5095024989 and 5095025007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1794502 + ... + 1797338.

It is an arithmetic number, because the mean of its divisors is an integer number (112963752).

Almost surely, 2^5095025040 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 5095025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037100160).

5095025040 is an abundant number, since it is smaller than the sum of its proper divisors (12979175280).

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

5095025040 is a wasteful number, since it uses less digits than its factorization.

5095025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 5095025040 is about 71379.4440998247. Note that the first 3 decimals coincide. The cubic root of 5095025040 is about 1720.7407391754.

The spelling of 5095025040 in words is "five billion, ninety-five million, twenty-five thousand, forty".