4572868608000 has 2560 divisors, whose sum is σ = 21376028044800. Its totient is φ = 944898048000.

The previous prime is 4572868607999. The next prime is 4572868608019. The reversal of 4572868608000 is 8068682754.

4572868608000 is a `hidden beast` number, since 4 + 5 + 7 + 28 + 6 + 8 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×4572868608000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 25546751911 + ... + 25546752089.

It is an arithmetic number, because the mean of its divisors is an integer number (8350010955).

Almost surely, 2^{4572868608000} is an apocalyptic number.

4572868608000 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 4572868608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10688014022400).

4572868608000 is an abundant number, since it is smaller than the sum of its proper divisors (16803159436800).

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

4572868608000 is an equidigital number, since it uses as much as digits as its factorization.

4572868608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4572868608000 in words is "four trillion, five hundred seventy-two billion, eight hundred sixty-eight million, six hundred eight thousand".