553045068900 has 135 divisors (see below), whose sum is σ = 1792970614281. Its totient is φ = 147460836960.

The previous prime is 553045068869. The next prime is 553045068907. The reversal of 553045068900 is 9860540355.

The square root of 553045068900 is 743670.

It is a perfect power (a square), and thus also a powerful number.

553045068900 is a `hidden beast` number, since 5 + 53 + 0 + 4 + 506 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 199096224804 + 353948844096 = 446202^2 + 594936^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is not an unprimeable number, because it can be changed into a prime (553045068907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 66926169 + ... + 66934431.

Almost surely, 2^553045068900 is an apocalyptic number.

553045068900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

553045068900 is the 743670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553045068900

553045068900 is an abundant number, since it is smaller than the sum of its proper divisors (1239925545381).

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

553045068900 is an frugal number, since it uses more digits than its factorization.

553045068900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16552 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 553045068900 in words is "five hundred fifty-three billion, forty-five million, sixty-eight thousand, nine hundred".