4525955481600 has 2160 divisors, whose sum is σ = 20232925713000. Its totient is φ = 998831554560.

The previous prime is 4525955481581. The next prime is 4525955481623. The reversal of 4525955481600 is 61845595254.

4525955481600 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 9 + 554 + 81 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 156067430386 + ... + 156067430414.

Almost surely, 2^{4525955481600} is an apocalyptic number.

4525955481600 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 4525955481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116462856500).

4525955481600 is an abundant number, since it is smaller than the sum of its proper divisors (15706970231400).

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

4525955481600 is an frugal number, since it uses more digits than its factorization.

4525955481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 4525955481600 in words is "four trillion, five hundred twenty-five billion, nine hundred fifty-five million, four hundred eighty-one thousand, six hundred".