5159780352000 has 880 divisors, whose sum is σ = 19317885876432. Its totient is φ = 1375941427200.

The previous prime is 5159780351963. The next prime is 5159780352011. The reversal of 5159780352000 is 2530879515.

The cubic root of 5159780352000 is 17280.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ (4!)³.

5159780352000 is a `hidden beast` number, since 5 + 1 + 59 + 78 + 0 + 3 + 520 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1031956070398 + ... + 1031956070402.

Almost surely, 2^{5159780352000} is an apocalyptic number.

5159780352000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5159780352000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5159780352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9658942938216).

5159780352000 is an abundant number, since it is smaller than the sum of its proper divisors (14158105524432).

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

5159780352000 is an frugal number, since it uses more digits than its factorization.

5159780352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 5159780352000 in words is "five trillion, one hundred fifty-nine billion, seven hundred eighty million, three hundred fifty-two thousand".