5153645427840 has 576 divisors, whose sum is σ = 22023368303040. Its totient is φ = 1087361114112.

The previous prime is 5153645427761. The next prime is 5153645427863. The reversal of 5153645427840 is 487245463515.

5153645427840 is a `hidden beast` number, since 5 + 1 + 5 + 364 + 5 + 4 + 278 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5153645427840² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6435919 + ... + 7192241.

It is an arithmetic number, because the mean of its divisors is an integer number (38235014415).

Almost surely, 2^{5153645427840} 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 5153645427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11011684151520).

5153645427840 is an abundant number, since it is smaller than the sum of its proper divisors (16869722875200).

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

5153645427840 is a wasteful number, since it uses less digits than its factorization.

5153645427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756381 (or 756353 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 5153645427840 in words is "five trillion, one hundred fifty-three billion, six hundred forty-five million, four hundred twenty-seven thousand, eight hundred forty".