54393240545280 has 3072 divisors, whose sum is σ = 248537382912000. Its totient is φ = 10974661705728.

The previous prime is 54393240545257. The next prime is 54393240545299. The reversal of 54393240545280 is 8254504239345.

54393240545280 is a `hidden beast` number, since 5 + 4 + 3 + 9 + 32 + 40 + 545 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×54393240545280² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 92663101147 + ... + 92663101733.

It is an arithmetic number, because the mean of its divisors is an integer number (80904096000).

Almost surely, 2^{54393240545280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54393240545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124268691456000).

54393240545280 is an abundant number, since it is smaller than the sum of its proper divisors (194144142366720).

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

54393240545280 is a wasteful number, since it uses less digits than its factorization.

54393240545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 54393240545280 in words is "fifty-four trillion, three hundred ninety-three billion, two hundred forty million, five hundred forty-five thousand, two hundred eighty".