5425060982400 has 288 divisors, whose sum is σ = 19364187761100. Its totient is φ = 1446210109440.

The previous prime is 5425060982389. The next prime is 5425060982417. The reversal of 5425060982400 is 42890605245.

5425060982400 is a `hidden beast` number, since 54 + 2 + 50 + 60 + 98 + 2 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3155795919936 + 2269265062464 = 1776456^2 + 1506408^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 92966032 + ... + 93024368.

Almost surely, 2^{5425060982400} is an apocalyptic number.

5425060982400 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 5425060982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9682093880550).

5425060982400 is an abundant number, since it is smaller than the sum of its proper divisors (13939126778700).

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

5425060982400 is a wasteful number, since it uses less digits than its factorization.

5425060982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61596 (or 61576 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5425060982400 in words is "five trillion, four hundred twenty-five billion, sixty million, nine hundred eighty-two thousand, four hundred".