53522890041600 has 864 divisors, whose sum is σ = 228878371680000. Its totient is φ = 12233789890560.

The previous prime is 53522890041559. The next prime is 53522890041601. The reversal of 53522890041600 is 614009822535.

53522890041600 is a `hidden beast` number, since 5 + 3 + 5 + 228 + 9 + 0 + 0 + 416 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53522890041601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58818886 + ... + 59721914.

Almost surely, 2^{53522890041600} is an apocalyptic number.

53522890041600 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 53522890041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114439185840000).

53522890041600 is an abundant number, since it is smaller than the sum of its proper divisors (175355481638400).

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

53522890041600 is an equidigital number, since it uses as much as digits as its factorization.

53522890041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903085 (or 903046 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 53522890041600 in words is "fifty-three trillion, five hundred twenty-two billion, eight hundred ninety million, forty-one thousand, six hundred".