54151596576 has 864 divisors, whose sum is σ = 208816937280. Its totient is φ = 13611628800.

The previous prime is 54151596533. The next prime is 54151596593. The reversal of 54151596576 is 67569515145.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

54151596576 is a `hidden beast` number, since 5 + 4 + 15 + 1 + 59 + 6 + 576 = 666.

54151596576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

Its product of digits (5670000) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1746825681 + ... + 1746825711.

It is an arithmetic number, because the mean of its divisors is an integer number (241686270).

Almost surely, 2^54151596576 is an apocalyptic number.

54151596576 is a gapful number since it is divisible by the number (56) 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 54151596576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104408468640).

54151596576 is an abundant number, since it is smaller than the sum of its proper divisors (154665340704).

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

54151596576 is a wasteful number, since it uses less digits than its factorization.

54151596576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 54 counting only the distinct ones).

The product of its digits is 5670000, while the sum is 54.

The spelling of 54151596576 in words is "fifty-four billion, one hundred fifty-one million, five hundred ninety-six thousand, five hundred seventy-six".