7557218420160 has 896 divisors, whose sum is σ = 26834616188928. Its totient is φ = 1795368960000.

The previous prime is 7557218420159. The next prime is 7557218420173. The reversal of 7557218420160 is 610248127557.

It is a super-2 number, since 2×7557218420160² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1962402235 + ... + 1962406085.

Almost surely, 2^{7557218420160} 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 7557218420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13417308094464).

7557218420160 is an abundant number, since it is smaller than the sum of its proper divisors (19277397768768).

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

7557218420160 is a wasteful number, since it uses less digits than its factorization.

7557218420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 7557218420160 in words is "seven trillion, five hundred fifty-seven billion, two hundred eighteen million, four hundred twenty thousand, one hundred sixty".