655010748900 has 432 divisors, whose sum is σ = 2121902939520. Its totient is φ = 168937574400.

The previous prime is 655010748893. The next prime is 655010748919. The reversal of 655010748900 is 9847010556.

655010748900 is a `hidden beast` number, since 6 + 550 + 1 + 0 + 7 + 4 + 8 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1038051585 + ... + 1038052215.

It is an arithmetic number, because the mean of its divisors is an integer number (4911812360).

Almost surely, 2^655010748900 is an apocalyptic number.

655010748900 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 655010748900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060951469760).

655010748900 is an abundant number, since it is smaller than the sum of its proper divisors (1466892190620).

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

655010748900 is a wasteful number, since it uses less digits than its factorization.

655010748900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 655010748900 in words is "six hundred fifty-five billion, ten million, seven hundred forty-eight thousand, nine hundred".