5083152626160 has 2560 divisors, whose sum is σ = 22709403648000. Its totient is φ = 1019315404800.

The previous prime is 5083152626143. The next prime is 5083152626161. The reversal of 5083152626160 is 616262513805.

5083152626160 is a `hidden beast` number, since 5 + 0 + 8 + 3 + 1 + 5 + 2 + 626 + 16 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5083152626161) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 22197172926 + ... + 22197173154.

It is an arithmetic number, because the mean of its divisors is an integer number (8870860800).

Almost surely, 2^{5083152626160} 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 5083152626160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11354701824000).

5083152626160 is an abundant number, since it is smaller than the sum of its proper divisors (17626251021840).

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

5083152626160 is a wasteful number, since it uses less digits than its factorization.

5083152626160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5083152626160 in words is "five trillion, eighty-three billion, one hundred fifty-two million, six hundred twenty-six thousand, one hundred sixty".