6552157918896 has 180 divisors, whose sum is σ = 19360494822240. Its totient is φ = 2068284015360.

The previous prime is 6552157918849. The next prime is 6552157918897. The reversal of 6552157918896 is 6988197512556.

6552157918896 is a `hidden beast` number, since 6 + 5 + 521 + 5 + 7 + 9 + 1 + 8 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6552157918897) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138825670 + ... + 138872858.

It is an arithmetic number, because the mean of its divisors is an integer number (107558304568).

Almost surely, 2^{6552157918896} 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 6552157918896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680247411120).

6552157918896 is an abundant number, since it is smaller than the sum of its proper divisors (12808336903344).

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

6552157918896 is a wasteful number, since it uses less digits than its factorization.

6552157918896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49912 (or 49884 counting only the distinct ones).

The product of its digits is 326592000, while the sum is 72.

The spelling of 6552157918896 in words is "six trillion, five hundred fifty-two billion, one hundred fifty-seven million, nine hundred eighteen thousand, eight hundred ninety-six".