4956377242500 has 600 divisors, whose sum is σ = 17185697841312. Its totient is φ = 1240887168000.

The previous prime is 4956377242471. The next prime is 4956377242543. The reversal of 4956377242500 is 52427736594.

4956377242500 is a `hidden beast` number, since 4 + 9 + 5 + 63 + 7 + 72 + 4 + 2 + 500 = 666.

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 199 ways as a sum of consecutive naturals, for example, 1607645959 + ... + 1607649041.

Almost surely, 2^{4956377242500} 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 4956377242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592848920656).

4956377242500 is an abundant number, since it is smaller than the sum of its proper divisors (12229320598812).

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

4956377242500 is a wasteful number, since it uses less digits than its factorization.

4956377242500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 4956377242500 in words is "four trillion, nine hundred fifty-six billion, three hundred seventy-seven million, two hundred forty-two thousand, five hundred".