54364533552000 has 1536 divisors, whose sum is σ = 231161580000000. Its totient is φ = 11980033228800.

The previous prime is 54364533551989. The next prime is 54364533552013. The reversal of 54364533552000 is 25533546345.

54364533552000 is a `hidden beast` number, since 5 + 4 + 3 + 64 + 5 + 33 + 552 + 0 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 36510767256 + ... + 36510768744.

Almost surely, 2^{54364533552000} is an apocalyptic number.

54364533552000 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 54364533552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115580790000000).

54364533552000 is an abundant number, since it is smaller than the sum of its proper divisors (176797046448000).

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

54364533552000 is a wasteful number, since it uses less digits than its factorization.

54364533552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 54364533552000 in words is "fifty-four trillion, three hundred sixty-four billion, five hundred thirty-three million, five hundred fifty-two thousand".