53623680000 has 440 divisors, whose sum is σ = 194914357440. Its totient is φ = 12994560000.

The previous prime is 53623679969. The next prime is 53623680001. The reversal of 53623680000 is 8632635.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (53623680001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21118731 + ... + 21121269.

It is an arithmetic number, because the mean of its divisors is an integer number (442987176).

Almost surely, 2^53623680000 is an apocalyptic number.

53623680000 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 53623680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97457178720).

53623680000 is an abundant number, since it is smaller than the sum of its proper divisors (141290677440).

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

53623680000 is a wasteful number, since it uses less digits than its factorization.

53623680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 53623680000 in words is "fifty-three billion, six hundred twenty-three million, six hundred eighty thousand".