54935253945 has 128 divisors (see below), whose sum is σ = 120776140800. Its totient is φ = 23292230400.

The previous prime is 54935253937. The next prime is 54935254007.

54935253945 is a `hidden beast` number, since 5 + 49 + 3 + 525 + 39 + 45 = 666.

54935253945 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54935253945 - 2³ = 54935253937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54935253891 and 54935253900.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 291910 + ... + 441680.

It is an arithmetic number, because the mean of its divisors is an integer number (943563600).

Almost surely, 2^54935253945 is an apocalyptic number.

54935253945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54935253945 is an abundant number, since it is smaller than the sum of its proper divisors (65840886855).

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

54935253945 is a wasteful number, since it uses less digits than its factorization.

54935253945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149828 (or 149822 counting only the distinct ones).

The product of its digits is 14580000, while the sum is 54.

The spelling of 54935253945 in words is "fifty-four billion, nine hundred thirty-five million, two hundred fifty-three thousand, nine hundred forty-five".