54201341511072 has 144 divisors (see below), whose sum is σ = 176156532482112. Its totient is φ = 15485906580480.

The previous prime is 54201341511071. The next prime is 54201341511113. The reversal of 54201341511072 is 27011514310245.

54201341511072 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 134 + 1 + 511 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54201341511071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284678947 + ... + 284869277.

It is an arithmetic number, because the mean of its divisors is an integer number (1223309253348).

Almost surely, 2^{54201341511072} is an apocalyptic number.

It is an amenable number.

54201341511072 is an abundant number, since it is smaller than the sum of its proper divisors (121955190971040).

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

54201341511072 is a wasteful number, since it uses less digits than its factorization.

54201341511072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331611 (or 331600 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 54201341511072 in words is "fifty-four trillion, two hundred one billion, three hundred forty-one million, five hundred eleven thousand, seventy-two".