4795211618560 has 576 divisors, whose sum is σ = 13750596163584. Its totient is φ = 1581790003200.

The previous prime is 4795211618539. The next prime is 4795211618563. The reversal of 4795211618560 is 658161125974.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (4795211618563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2055383154 + ... + 2055385486.

It is an arithmetic number, because the mean of its divisors is an integer number (23872562784).

Almost surely, 2^{4795211618560} is an apocalyptic number.

4795211618560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4795211618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875298081792).

4795211618560 is an abundant number, since it is smaller than the sum of its proper divisors (8955384545024).

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

4795211618560 is a wasteful number, since it uses less digits than its factorization.

4795211618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 4795211618560 in words is "four trillion, seven hundred ninety-five billion, two hundred eleven million, six hundred eighteen thousand, five hundred sixty".