5537152217520 has 3360 divisors, whose sum is σ = 26342736814080. Its totient is φ = 1066623344640.

The previous prime is 5537152217483. The next prime is 5537152217537. The reversal of 5537152217520 is 257122517355.

5537152217520 is a `hidden beast` number, since 5 + 5 + 3 + 71 + 52 + 2 + 1 + 7 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 43599623697 + ... + 43599623823.

Almost surely, 2^{5537152217520} 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 5537152217520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171368407040).

5537152217520 is an abundant number, since it is smaller than the sum of its proper divisors (20805584596560).

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

5537152217520 is a wasteful number, since it uses less digits than its factorization.

5537152217520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 5537152217520 in words is "five trillion, five hundred thirty-seven billion, one hundred fifty-two million, two hundred seventeen thousand, five hundred twenty".