53630198949600 has 2016 divisors, whose sum is σ = 243967124104704. Its totient is φ = 11204382412800.

The previous prime is 53630198949583. The next prime is 53630198949617. The reversal of 53630198949600 is 694989103635.

53630198949600 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 0 + 19 + 8 + 9 + 4 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (53630198949583) and next prime (53630198949617).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5466328695 + ... + 5466338505.

It is an arithmetic number, because the mean of its divisors is an integer number (121015438544).

Almost surely, 2^{53630198949600} is an apocalyptic number.

53630198949600 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 53630198949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121983562052352).

53630198949600 is an abundant number, since it is smaller than the sum of its proper divisors (190336925155104).

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

53630198949600 is a wasteful number, since it uses less digits than its factorization.

53630198949600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 53630198949600 in words is "fifty-three trillion, six hundred thirty billion, one hundred ninety-eight million, nine hundred forty-nine thousand, six hundred".