54010152000 has 1120 divisors, whose sum is σ = 233971795200. Its totient is φ = 12345177600.

The previous prime is 54010151983. The next prime is 54010152019. The reversal of 54010152000 is 25101045.

The cubic root of 54010152000 is 3780.

It is a perfect power (a cube), and thus also a powerful number.

54010152000 is a `hidden beast` number, since 5 + 40 + 101 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7715735997 + ... + 7715736003.

Almost surely, 2^54010152000 is an apocalyptic number.

54010152000 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 54010152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116985897600).

54010152000 is an abundant number, since it is smaller than the sum of its proper divisors (179961643200).

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

54010152000 is an frugal number, since it uses more digits than its factorization.

54010152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 54010152000 its reverse (25101045), we get a palindrome (54035253045).

The spelling of 54010152000 in words is "fifty-four billion, ten million, one hundred fifty-two thousand".