5153121434880 has 288 divisors, whose sum is σ = 18346026652800. Its totient is φ = 1369686786048.

The previous prime is 5153121434861. The next prime is 5153121434887. The reversal of 5153121434880 is 884341213515.

5153121434880 is a `hidden beast` number, since 5 + 1 + 5 + 3 + 121 + 43 + 488 + 0 = 666.

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

It is a super-2 number, since 2×5153121434880² (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 not an unprimeable number, because it can be changed into a prime (5153121434887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10367076 + ... + 10852764.

Almost surely, 2^{5153121434880} 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 5153121434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173013326400).

5153121434880 is an abundant number, since it is smaller than the sum of its proper divisors (13192905217920).

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

5153121434880 is a wasteful number, since it uses less digits than its factorization.

5153121434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486026 (or 486006 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 5153121434880 in words is "five trillion, one hundred fifty-three billion, one hundred twenty-one million, four hundred thirty-four thousand, eight hundred eighty".