5155460352 has 288 divisors, whose sum is σ = 17581670400. Its totient is φ = 1459648512.

The previous prime is 5155460351. The next prime is 5155460353. The reversal of 5155460352 is 2530645515.

5155460352 is a `hidden beast` number, since 51 + 554 + 6 + 0 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (5155460351) and next prime (5155460353).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5155460351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6144349 + ... + 6145187.

Almost surely, 2^5155460352 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 5155460352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790835200).

5155460352 is an abundant number, since it is smaller than the sum of its proper divisors (12426210048).

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

5155460352 is a wasteful number, since it uses less digits than its factorization.

5155460352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 5155460352 is about 71801.5344682828. The cubic root of 5155460352 is about 1727.5176122630.

The spelling of 5155460352 in words is "five billion, one hundred fifty-five million, four hundred sixty thousand, three hundred fifty-two".