155983426560 has 1056 divisors, whose sum is σ = 630093129120. Its totient is φ = 35455500288.

The previous prime is 155983426559. The next prime is 155983426583. The reversal of 155983426560 is 65624389551.

155983426560 is a `hidden beast` number, since 1 + 5 + 59 + 8 + 3 + 4 + 26 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 35079791616 + 120903634944 = 187296^2 + 347712^2 .

It is a super-2 number, since 2×155983426560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 155983426497 and 155983426506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2943083494 + ... + 2943083546.

Almost surely, 2^155983426560 is an apocalyptic number.

155983426560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155983426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315046564560).

155983426560 is an abundant number, since it is smaller than the sum of its proper divisors (474109702560).

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

155983426560 is a wasteful number, since it uses less digits than its factorization.

155983426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 155983426560 in words is "one hundred fifty-five billion, nine hundred eighty-three million, four hundred twenty-six thousand, five hundred sixty".