5272451481600 has 2448 divisors, whose sum is σ = 22362558079680. Its totient is φ = 1223059046400.

The previous prime is 5272451481569. The next prime is 5272451481631. The reversal of 5272451481600 is 61841542725.

5272451481600 is a `hidden beast` number, since 5 + 2 + 7 + 24 + 5 + 14 + 8 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5272451481569) and next prime (5272451481631).

It is a tau number, because it is divible by the number of its divisors (2448).

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 143 ways as a sum of consecutive naturals, for example, 128596377580 + ... + 128596377620.

Almost surely, 2^{5272451481600} is an apocalyptic number.

5272451481600 is a gapful number since it is divisible by the number (50) 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 5272451481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11181279039840).

5272451481600 is an abundant number, since it is smaller than the sum of its proper divisors (17090106598080).

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

5272451481600 is an equidigital number, since it uses as much as digits as its factorization.

5272451481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 5272451481600 in words is "five trillion, two hundred seventy-two billion, four hundred fifty-one million, four hundred eighty-one thousand, six hundred".