654825133872 has 400 divisors, whose sum is σ = 2356709008192. Its totient is φ = 170917724160.

The previous prime is 654825133817. The next prime is 654825133883. The reversal of 654825133872 is 278331528456.

654825133872 is a `hidden beast` number, since 6 + 5 + 4 + 8 + 251 + 3 + 387 + 2 = 666.

654825133872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11411172 + ... + 11468412.

Almost surely, 2^654825133872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654825133872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178354504096).

654825133872 is an abundant number, since it is smaller than the sum of its proper divisors (1701883874320).

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

654825133872 is a wasteful number, since it uses less digits than its factorization.

654825133872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57378 (or 57363 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 654825133872 in words is "six hundred fifty-four billion, eight hundred twenty-five million, one hundred thirty-three thousand, eight hundred seventy-two".