54387837504000 has 6400 divisors, whose sum is σ = 279044923981824. Its totient is φ = 10164289536000.

The previous prime is 54387837503971. The next prime is 54387837504001. The reversal of 54387837504000 is 40573878345.

It is a happy number.

54387837504000 is a `hidden beast` number, since 5 + 4 + 38 + 78 + 37 + 504 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54387837504001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 243891647889 + ... + 243891648111.

Almost surely, 2^{54387837504000} is an apocalyptic number.

54387837504000 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 54387837504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139522461990912).

54387837504000 is an abundant number, since it is smaller than the sum of its proper divisors (224657086477824).

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

54387837504000 is a wasteful number, since it uses less digits than its factorization.

54387837504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 54387837504000 in words is "fifty-four trillion, three hundred eighty-seven billion, eight hundred thirty-seven million, five hundred four thousand".