5625950541120 has 3136 divisors, whose sum is σ = 26076887875584. Its totient is φ = 1123864657920.

The previous prime is 5625950541073. The next prime is 5625950541137. The reversal of 5625950541120 is 211450595265.

5625950541120 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 95 + 0 + 541 + 12 + 0 = 666.

It is a super-2 number, since 2×5625950541120² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 54620878989 + ... + 54620879091.

It is an arithmetic number, because the mean of its divisors is an integer number (8315334144).

Almost surely, 2^{5625950541120} 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 5625950541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13038443937792).

5625950541120 is an abundant number, since it is smaller than the sum of its proper divisors (20450937334464).

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

5625950541120 is a wasteful number, since it uses less digits than its factorization.

5625950541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 5625950541120 in words is "five trillion, six hundred twenty-five billion, nine hundred fifty million, five hundred forty-one thousand, one hundred twenty".