5106457620 has 384 divisors, whose sum is σ = 18673804800. Its totient is φ = 1144627200.

The previous prime is 5106457597. The next prime is 5106457667. The reversal of 5106457620 is 267546015.

It is a happy number.

5106457620 is a `hidden beast` number, since 5 + 1 + 0 + 64 + 576 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6159366 + ... + 6160194.

It is an arithmetic number, because the mean of its divisors is an integer number (48629700).

Almost surely, 2^5106457620 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 5106457620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9336902400).

5106457620 is an abundant number, since it is smaller than the sum of its proper divisors (13567347180).

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

5106457620 is a wasteful number, since it uses less digits than its factorization.

5106457620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5106457620 is about 71459.4823658834. The cubic root of 5106457620 is about 1722.0268179242.

The spelling of 5106457620 in words is "five billion, one hundred six million, four hundred fifty-seven thousand, six hundred twenty".