654251065020 has 288 divisors, whose sum is σ = 2394087521280. Its totient is φ = 141670539648.

The previous prime is 654251064989. The next prime is 654251065031. The reversal of 654251065020 is 20560152456.

654251065020 is a `hidden beast` number, since 6 + 5 + 42 + 5 + 106 + 502 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8604489 + ... + 8680191.

Almost surely, 2^654251065020 is an apocalyptic number.

654251065020 is a gapful number since it is divisible by the number (60) 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 654251065020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197043760640).

654251065020 is an abundant number, since it is smaller than the sum of its proper divisors (1739836456260).

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

654251065020 is a wasteful number, since it uses less digits than its factorization.

654251065020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75782 (or 75739 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 654251065020 in words is "six hundred fifty-four billion, two hundred fifty-one million, sixty-five thousand, twenty".