155117672440704 has 384 divisors, whose sum is σ = 476821117843200. Its totient is φ = 48295644364800.

The previous prime is 155117672440691. The next prime is 155117672440723. The reversal of 155117672440704 is 407044276711551.

155117672440704 is a `hidden beast` number, since 1 + 5 + 51 + 17 + 6 + 72 + 440 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×155117672440704² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3149380942 + ... + 3149430194.

It is an arithmetic number, because the mean of its divisors is an integer number (1241721661050).

Almost surely, 2^{155117672440704} 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 155117672440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238410558921600).

155117672440704 is an abundant number, since it is smaller than the sum of its proper divisors (321703445402496).

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

155117672440704 is a wasteful number, since it uses less digits than its factorization.

155117672440704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52374 (or 52359 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 155117672440704 in words is "one hundred fifty-five trillion, one hundred seventeen billion, six hundred seventy-two million, four hundred forty thousand, seven hundred four".