5211634544640 has 624 divisors, whose sum is σ = 19304175290400. Its totient is φ = 1295932981248.

The previous prime is 5211634544603. The next prime is 5211634544671. The reversal of 5211634544640 is 464454361125.

5211634544640 is a `hidden beast` number, since 5 + 2 + 1 + 1 + 63 + 4 + 544 + 6 + 40 = 666.

It is a super-2 number, since 2×5211634544640² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341537331 + ... + 341552589.

It is an arithmetic number, because the mean of its divisors is an integer number (30936178350).

Almost surely, 2^{5211634544640} 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 5211634544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652087645200).

5211634544640 is an abundant number, since it is smaller than the sum of its proper divisors (14092540745760).

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

5211634544640 is a wasteful number, since it uses less digits than its factorization.

5211634544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15420 (or 15395 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 5211634544640 in words is "five trillion, two hundred eleven billion, six hundred thirty-four million, five hundred forty-four thousand, six hundred forty".