4955127851520 has 3840 divisors, whose sum is σ = 23720465793024. Its totient is φ = 961486848000.

The previous prime is 4955127851501. The next prime is 4955127851603. The reversal of 4955127851520 is 251587215594.

It is a happy number.

4955127851520 is a `hidden beast` number, since 4 + 9 + 5 + 51 + 2 + 78 + 515 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×4955127851520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69790533085 + ... + 69790533155.

Almost surely, 2^{4955127851520} is an apocalyptic number.

4955127851520 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 4955127851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860232896512).

4955127851520 is an abundant number, since it is smaller than the sum of its proper divisors (18765337941504).

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

4955127851520 is a wasteful number, since it uses less digits than its factorization.

4955127851520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 4955127851520 in words is "four trillion, nine hundred fifty-five billion, one hundred twenty-seven million, eight hundred fifty-one thousand, five hundred twenty".