155206735640416 has 96 divisors (see below), whose sum is σ = 327265274306880. Its totient is φ = 72199482802176.

The previous prime is 155206735640413. The next prime is 155206735640441. The reversal of 155206735640416 is 614046537602551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155206735640413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28723320 + ... + 33696328.

It is an arithmetic number, because the mean of its divisors is an integer number (3409013274030).

Almost surely, 2^{155206735640416} is an apocalyptic number.

155206735640416 is a gapful number since it is divisible by the number (16) 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 155206735640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163632637153440).

155206735640416 is an abundant number, since it is smaller than the sum of its proper divisors (172058538666464).

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

155206735640416 is a wasteful number, since it uses less digits than its factorization.

155206735640416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973696 (or 4973688 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 55.

The spelling of 155206735640416 in words is "one hundred fifty-five trillion, two hundred six billion, seven hundred thirty-five million, six hundred forty thousand, four hundred sixteen".