4298864768550 has 1920 divisors, whose sum is σ = 15680596377600. Its totient is φ = 858097152000.

The previous prime is 4298864768507. The next prime is 4298864768563. The reversal of 4298864768550 is 558674688924.

4298864768550 is a `hidden beast` number, since 4 + 2 + 9 + 8 + 8 + 6 + 4 + 7 + 68 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 10259820241 + ... + 10259820659.

It is an arithmetic number, because the mean of its divisors is an integer number (8166977280).

Almost surely, 2^{4298864768550} is an apocalyptic number.

4298864768550 is the 1692900-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4298864768550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840298188800).

4298864768550 is an abundant number, since it is smaller than the sum of its proper divisors (11381731609050).

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

4298864768550 is a wasteful number, since it uses less digits than its factorization.

4298864768550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 4298864768550 in words is "four trillion, two hundred ninety-eight billion, eight hundred sixty-four million, seven hundred sixty-eight thousand, five hundred fifty".