53632309550400 has 3528 divisors, whose sum is σ = 238725181131360. Its totient is φ = 11811865927680.

The previous prime is 53632309550383. The next prime is 53632309550429. The reversal of 53632309550400 is 405590323635.

It is a happy number.

53632309550400 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 230 + 9 + 5 + 5 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 341607067122 + ... + 341607067278.

Almost surely, 2^{53632309550400} is an apocalyptic number.

53632309550400 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 53632309550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119362590565680).

53632309550400 is an abundant number, since it is smaller than the sum of its proper divisors (185092871580960).

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

53632309550400 is a wasteful number, since it uses less digits than its factorization.

53632309550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 53632309550400 in words is "fifty-three trillion, six hundred thirty-two billion, three hundred nine million, five hundred fifty thousand, four hundred".