5954781150864 has 960 divisors, whose sum is σ = 23267177472000. Its totient is φ = 1439800427520.

The previous prime is 5954781150859. The next prime is 5954781150881. The reversal of 5954781150864 is 4680511874595.

5954781150864 is a `hidden beast` number, since 5 + 9 + 5 + 47 + 81 + 1 + 508 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162065007 + ... + 162101745.

It is an arithmetic number, because the mean of its divisors is an integer number (24236643200).

Almost surely, 2^{5954781150864} is an apocalyptic number.

5954781150864 is a gapful number since it is divisible by the number (54) 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 5954781150864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633588736000).

5954781150864 is an abundant number, since it is smaller than the sum of its proper divisors (17312396321136).

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

5954781150864 is a wasteful number, since it uses less digits than its factorization.

5954781150864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36833 (or 36814 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 5954781150864 in words is "five trillion, nine hundred fifty-four billion, seven hundred eighty-one million, one hundred fifty thousand, eight hundred sixty-four".