54195956652816 has 160 divisors (see below), whose sum is σ = 169896714723840. Its totient is φ = 16404416784000.

The previous prime is 54195956652791. The next prime is 54195956652823. The reversal of 54195956652816 is 61825665959145.

54195956652816 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 5 + 9 + 566 + 52 + 8 + 1 + 6 = 666.

54195956652816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2262010 + ... + 10654041.

It is an arithmetic number, because the mean of its divisors is an integer number (1061854467024).

Almost surely, 2^{54195956652816} 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 54195956652816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84948357361920).

54195956652816 is an abundant number, since it is smaller than the sum of its proper divisors (115700758071024).

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

54195956652816 is a wasteful number, since it uses less digits than its factorization.

54195956652816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12916962 (or 12916950 counting only the distinct ones).

The product of its digits is 699840000, while the sum is 72.

The spelling of 54195956652816 in words is "fifty-four trillion, one hundred ninety-five billion, nine hundred fifty-six million, six hundred fifty-two thousand, eight hundred sixteen".