54895184245440 has 3024 divisors, whose sum is σ = 250207668337536. Its totient is φ = 10999409541120.

The previous prime is 54895184245411. The next prime is 54895184245453. The reversal of 54895184245440 is 4454248159845.

54895184245440 is a `hidden beast` number, since 5 + 4 + 8 + 9 + 5 + 1 + 84 + 2 + 4 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 58586108652 + ... + 58586109588.

It is an arithmetic number, because the mean of its divisors is an integer number (82740631064).

Almost surely, 2^{54895184245440} 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 54895184245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125103834168768).

54895184245440 is an abundant number, since it is smaller than the sum of its proper divisors (195312484092096).

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

54895184245440 is a wasteful number, since it uses less digits than its factorization.

54895184245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 147456000, while the sum is 63.

The spelling of 54895184245440 in words is "fifty-four trillion, eight hundred ninety-five billion, one hundred eighty-four million, two hundred forty-five thousand, four hundred forty".