5152623840 has 960 divisors, whose sum is σ = 23789614464. Its totient is φ = 1019215872.

The previous prime is 5152623803. The next prime is 5152623877. The reversal of 5152623840 is 483262515.

5152623840 is a `hidden beast` number, since 5 + 15 + 262 + 384 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5152623803) and next prime (5152623877).

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

It is a junction number, because it is equal to n+sod(n) for n = 5152623795 and 5152623804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20048992 + ... + 20049248.

Almost surely, 2^5152623840 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 5152623840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11894807232).

5152623840 is an abundant number, since it is smaller than the sum of its proper divisors (18636990624).

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

5152623840 is a wasteful number, since it uses less digits than its factorization.

5152623840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5152623840 is about 71781.7793036645. The cubic root of 5152623840 is about 1727.2007298992.

The spelling of 5152623840 in words is "five billion, one hundred fifty-two million, six hundred twenty-three thousand, eight hundred forty".