54635648418420 has 24 divisors (see below), whose sum is σ = 152979815571744. Its totient is φ = 14569506244896.

The previous prime is 54635648418361. The next prime is 54635648418431. The reversal of 54635648418420 is 2481484653645.

It is a super-3 number, since 3×54635648418420³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 910594140307 = 54635648418420 / (5 + 4 + 6 + 3 + 5 + 6 + 4 + 8 + 4 + 1 + 8 + 4 + 2 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455297070094 + ... + 455297070213.

It is an arithmetic number, because the mean of its divisors is an integer number (6374158982156).

Almost surely, 2^{54635648418420} is an apocalyptic number.

It is an amenable number.

54635648418420 is an abundant number, since it is smaller than the sum of its proper divisors (98344167153324).

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

54635648418420 is a wasteful number, since it uses less digits than its factorization.

54635648418420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910594140319 (or 910594140317 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 60.

The spelling of 54635648418420 in words is "fifty-four trillion, six hundred thirty-five billion, six hundred forty-eight million, four hundred eighteen thousand, four hundred twenty".