48876711767884 has 288 divisors, whose sum is σ = 117714819124224. Its totient is φ = 17237309506560.

The previous prime is 48876711767869. The next prime is 48876711767899.

48876711767884 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (48876711767869) and next prime (48876711767899).

It is a junction number, because it is equal to n+sod(n) for n = 48876711767798 and 48876711767807.

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, 7346563902 + ... + 7346570554.

It is an arithmetic number, because the mean of its divisors is an integer number (408732010848).

Almost surely, 2^{48876711767884} is an apocalyptic number.

48876711767884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48876711767884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58857409562112).

48876711767884 is an abundant number, since it is smaller than the sum of its proper divisors (68838107356340).

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

48876711767884 is a wasteful number, since it uses less digits than its factorization.

48876711767884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9417 (or 9402 counting only the distinct ones).

The product of its digits is 5664669696, while the sum is 82.

The spelling of 48876711767884 in words is "forty-eight trillion, eight hundred seventy-six billion, seven hundred eleven million, seven hundred sixty-seven thousand, eight hundred eighty-four".