54234778752000 has 4224 divisors, whose sum is σ = 255158877782016. Its totient is φ = 10839121920000.

The previous prime is 54234778751941. The next prime is 54234778752029. The reversal of 54234778752000 is 25787743245.

It is a happy number.

54234778752000 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 47 + 78 + 7 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×54234778752000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 332728703919 + ... + 332728704081.

Almost surely, 2^{54234778752000} is an apocalyptic number.

54234778752000 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 54234778752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127579438891008).

54234778752000 is an abundant number, since it is smaller than the sum of its proper divisors (200924099030016).

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

54234778752000 is a wasteful number, since it uses less digits than its factorization.

54234778752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 54234778752000 in words is "fifty-four trillion, two hundred thirty-four billion, seven hundred seventy-eight million, seven hundred fifty-two thousand".