54004350909600 has 4032 divisors, whose sum is σ = 261551822112000. Its totient is φ = 10784747151360.

The previous prime is 54004350909589. The next prime is 54004350909611. The reversal of 54004350909600 is 690905340045.

54004350909600 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 4 + 35 + 0 + 9 + 0 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (54004350909589) and next prime (54004350909611).

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 671 ways as a sum of consecutive naturals, for example, 49409286654 + ... + 49409287746.

It is an arithmetic number, because the mean of its divisors is an integer number (64869003500).

Almost surely, 2^{54004350909600} is an apocalyptic number.

54004350909600 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 54004350909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130775911056000).

54004350909600 is an abundant number, since it is smaller than the sum of its proper divisors (207547471202400).

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

54004350909600 is a wasteful number, since it uses less digits than its factorization.

54004350909600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 54004350909600 in words is "fifty-four trillion, four billion, three hundred fifty million, nine hundred nine thousand, six hundred".