4902547161600 has 2400 divisors, whose sum is σ = 20898095739840. Its totient is φ = 1128701952000.

The previous prime is 4902547161593. The next prime is 4902547161671. The reversal of 4902547161600 is 61617452094.

4902547161600 is a `hidden beast` number, since 4 + 9 + 0 + 25 + 4 + 7 + 1 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 80369625570 + ... + 80369625630.

Almost surely, 2^{4902547161600} is an apocalyptic number.

4902547161600 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 4902547161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10449047869920).

4902547161600 is an abundant number, since it is smaller than the sum of its proper divisors (15995548578240).

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

4902547161600 is an frugal number, since it uses more digits than its factorization.

4902547161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4902547161600 in words is "four trillion, nine hundred two billion, five hundred forty-seven million, one hundred sixty-one thousand, six hundred".