48090880809279 has 128 divisors (see below), whose sum is σ = 94071270850560. Its totient is φ = 23539430217600.

The previous prime is 48090880809263. The next prime is 48090880809313. The reversal of 48090880809279 is 97290808809084.

It is not a de Polignac number, because 48090880809279 - 2⁴ = 48090880809263 is a prime.

It is a super-3 number, since 3×48090880809279³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48090880809779) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4301692 + ... + 10709169.

It is an arithmetic number, because the mean of its divisors is an integer number (734931803520).

Almost surely, 2^{48090880809279} is an apocalyptic number.

48090880809279 is a deficient number, since it is larger than the sum of its proper divisors (45980390041281).

48090880809279 is a wasteful number, since it uses less digits than its factorization.

48090880809279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15010978 (or 15010972 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 48090880809279 in words is "forty-eight trillion, ninety billion, eight hundred eighty million, eight hundred nine thousand, two hundred seventy-nine".