53564610000 has 400 divisors, whose sum is σ = 198584432640. Its totient is φ = 12300480000.

The previous prime is 53564609951. The next prime is 53564610049. The reversal of 53564610000 is 1646535.

It is an interprime number because it is at equal distance from previous prime (53564609951) and next prime (53564610049).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 53564610000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6265729 + ... + 6274271.

Almost surely, 2^53564610000 is an apocalyptic number.

53564610000 is a gapful number since it is divisible by the number (50) 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 53564610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99292216320).

53564610000 is an abundant number, since it is smaller than the sum of its proper divisors (145019822640).

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

53564610000 is a wasteful number, since it uses less digits than its factorization.

53564610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 53564610000 in words is "fifty-three billion, five hundred sixty-four million, six hundred ten thousand".