54354325163040 has 576 divisors, whose sum is σ = 219213549434880. Its totient is φ = 12001452687360.

The previous prime is 54354325162999. The next prime is 54354325163057. The reversal of 54354325163040 is 4036152345345.

54354325163040 is a `hidden beast` number, since 5 + 4 + 3 + 5 + 4 + 3 + 2 + 5 + 1 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173895216 + ... + 174207504.

It is an arithmetic number, because the mean of its divisors is an integer number (380579078880).

Almost surely, 2^{54354325163040} 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 54354325163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109606774717440).

54354325163040 is an abundant number, since it is smaller than the sum of its proper divisors (164859224271840).

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

54354325163040 is a wasteful number, since it uses less digits than its factorization.

54354325163040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312905 (or 312894 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 54354325163040 in words is "fifty-four trillion, three hundred fifty-four billion, three hundred twenty-five million, one hundred sixty-three thousand, forty".