63553152000 has 704 divisors, whose sum is σ = 236050214400. Its totient is φ = 15070003200.

The previous prime is 63553151947. The next prime is 63553152031. The reversal of 63553152000 is 25135536.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144767781 + ... + 144768219.

It is an arithmetic number, because the mean of its divisors is an integer number (335298600).

Almost surely, 2^63553152000 is an apocalyptic number.

63553152000 is a gapful number since it is divisible by the number (60) 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 63553152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118025107200).

63553152000 is an abundant number, since it is smaller than the sum of its proper divisors (172497062400).

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

63553152000 is a wasteful number, since it uses less digits than its factorization.

63553152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 63553152000 its reverse (25135536), we get a palindrome (63578287536).

The spelling of 63553152000 in words is "sixty-three billion, five hundred fifty-three million, one hundred fifty-two thousand".