54155720586240 has 4928 divisors, whose sum is σ = 259157582562816. Its totient is φ = 10530538389504.

The previous prime is 54155720586181. The next prime is 54155720586263. The reversal of 54155720586240 is 4268502755145.

54155720586240 is a `hidden beast` number, since 5 + 4 + 1 + 5 + 5 + 7 + 2 + 0 + 5 + 8 + 624 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 479254164424 + ... + 479254164536.

Almost surely, 2^{54155720586240} 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 54155720586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129578791281408).

54155720586240 is an abundant number, since it is smaller than the sum of its proper divisors (205001861976576).

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

54155720586240 is a wasteful number, since it uses less digits than its factorization.

54155720586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 13440000, while the sum is 54.

The spelling of 54155720586240 in words is "fifty-four trillion, one hundred fifty-five billion, seven hundred twenty million, five hundred eighty-six thousand, two hundred forty".