155553675264 has 480 divisors, whose sum is σ = 529925956560. Its totient is φ = 45036601344.

The previous prime is 155553675257. The next prime is 155553675269. The reversal of 155553675264 is 462576355551.

155553675264 is a `hidden beast` number, since 1 + 5 + 5 + 5 + 53 + 67 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 155553675264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155553675269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36659127 + ... + 36663369.

Almost surely, 2^155553675264 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 155553675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264962978280).

155553675264 is an abundant number, since it is smaller than the sum of its proper divisors (374372281296).

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

155553675264 is a wasteful number, since it uses less digits than its factorization.

155553675264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307 (or 4278 counting only the distinct ones).

The product of its digits is 18900000, while the sum is 54.

The spelling of 155553675264 in words is "one hundred fifty-five billion, five hundred fifty-three million, six hundred seventy-five thousand, two hundred sixty-four".