61553610000 has 225 divisors, whose sum is σ = 215522472451. Its totient is φ = 16394448000.

The previous prime is 61553609993. The next prime is 61553610007. The reversal of 61553610000 is 1635516.

It is a happy number.

The square root of 61553610000 is 248100.

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

61553610000 is a `hidden beast` number, since 6 + 1 + 553 + 6 + 100 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61553609993) and next prime (61553610007).

It can be written as a sum of positive squares in 2 ways, for example, as 4825803024 + 56727806976 = 69468^2 + 238176^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61553610007) 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, 74429587 + ... + 74430413.

Almost surely, 2^61553610000 is an apocalyptic number.

61553610000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61553610000 is the 248100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61553610000

61553610000 is an abundant number, since it is smaller than the sum of its proper divisors (153968862451).

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

61553610000 is an frugal number, since it uses more digits than its factorization.

61553610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 61553610000 in words is "sixty-one billion, five hundred fifty-three million, six hundred ten thousand".