53687467800 has 576 divisors, whose sum is σ = 198701568000. Its totient is φ = 12939264000.

The previous prime is 53687467793. The next prime is 53687467807. The reversal of 53687467800 is 876478635.

It is an interprime number because it is at equal distance from previous prime (53687467793) and next prime (53687467807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53687467807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83755480 + ... + 83756120.

It is an arithmetic number, because the mean of its divisors is an integer number (344968000).

Almost surely, 2^53687467800 is an apocalyptic number.

53687467800 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 53687467800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99350784000).

53687467800 is an abundant number, since it is smaller than the sum of its proper divisors (145014100200).

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

53687467800 is a wasteful number, since it uses less digits than its factorization.

53687467800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 53687467800 in words is "fifty-three billion, six hundred eighty-seven million, four hundred sixty-seven thousand, eight hundred".