5537417405520 has 960 divisors, whose sum is σ = 24216610037760. Its totient is φ = 1027850342400.

The previous prime is 5537417405501. The next prime is 5537417405539. The reversal of 5537417405520 is 255047147355.

It is an interprime number because it is at equal distance from previous prime (5537417405501) and next prime (5537417405539).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5537417405520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52078971 + ... + 52185189.

It is an arithmetic number, because the mean of its divisors is an integer number (25225635456).

Almost surely, 2^{5537417405520} 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 5537417405520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108305018880).

5537417405520 is an abundant number, since it is smaller than the sum of its proper divisors (18679192632240).

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

5537417405520 is a wasteful number, since it uses less digits than its factorization.

5537417405520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106304 (or 106291 counting only the distinct ones).

The product of its (nonzero) digits is 2940000, while the sum is 48.

The spelling of 5537417405520 in words is "five trillion, five hundred thirty-seven billion, four hundred seventeen million, four hundred five thousand, five hundred twenty".