4954653506880 has 3584 divisors, whose sum is σ = 23796661616640. Its totient is φ = 940584960000.

The previous prime is 4954653506867. The next prime is 4954653506927. The reversal of 4954653506880 is 886053564594.

It is a happy number.

4954653506880 is a `hidden beast` number, since 4 + 9 + 5 + 46 + 5 + 3 + 506 + 8 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 32812274805 + ... + 32812274955.

Almost surely, 2^{4954653506880} is an apocalyptic number.

4954653506880 is a gapful number since it is divisible by the number (40) 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 4954653506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11898330808320).

4954653506880 is an abundant number, since it is smaller than the sum of its proper divisors (18842008109760).

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

4954653506880 is a wasteful number, since it uses less digits than its factorization.

4954653506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 4954653506880 in words is "four trillion, nine hundred fifty-four billion, six hundred fifty-three million, five hundred six thousand, eight hundred eighty".