5949134678880 has 384 divisors, whose sum is σ = 22226588697600. Its totient is φ = 1481769676800.

The previous prime is 5949134678867. The next prime is 5949134678881. The reversal of 5949134678880 is 888764319495.

5949134678880 is a `hidden beast` number, since 5 + 9 + 4 + 9 + 1 + 3 + 467 + 88 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5949134678799 and 5949134678808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5949134678881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5317260 + ... + 6338100.

It is an arithmetic number, because the mean of its divisors is an integer number (57881741400).

Almost surely, 2^{5949134678880} 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 5949134678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113294348800).

5949134678880 is an abundant number, since it is smaller than the sum of its proper divisors (16277454018720).

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

5949134678880 is a wasteful number, since it uses less digits than its factorization.

5949134678880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020955 (or 1020941 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 5949134678880 in words is "five trillion, nine hundred forty-nine billion, one hundred thirty-four million, six hundred seventy-eight thousand, eight hundred eighty".