5854572172800 has 2520 divisors, whose sum is σ = 25028405485776. Its totient is φ = 1348231495680.

The previous prime is 5854572172789. The next prime is 5854572172837. The reversal of 5854572172800 is 82712754585.

It is a happy number.

5854572172800 is a `hidden beast` number, since 5 + 8 + 54 + 572 + 17 + 2 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×5854572172800² (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 251 ways as a sum of consecutive naturals, for example, 35057318317 + ... + 35057318483.

Almost surely, 2^{5854572172800} is an apocalyptic number.

5854572172800 is a gapful number since it is divisible by the number (50) 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 5854572172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12514202742888).

5854572172800 is an abundant number, since it is smaller than the sum of its proper divisors (19173833312976).

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

5854572172800 is a wasteful number, since it uses less digits than its factorization.

5854572172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6272000, while the sum is 54.

The spelling of 5854572172800 in words is "five trillion, eight hundred fifty-four billion, five hundred seventy-two million, one hundred seventy-two thousand, eight hundred".