155279966976 has 288 divisors, whose sum is σ = 480686008320. Its totient is φ = 49351458816.

The previous prime is 155279966957. The next prime is 155279967023. The reversal of 155279966976 is 679669972551.

155279966976 is a `hidden beast` number, since 1 + 5 + 527 + 9 + 9 + 6 + 6 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×155279966976² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56117145 + ... + 56119911.

It is an arithmetic number, because the mean of its divisors is an integer number (1669048640).

Almost surely, 2^155279966976 is an apocalyptic number.

155279966976 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 155279966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240343004160).

155279966976 is an abundant number, since it is smaller than the sum of its proper divisors (325406041344).

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

155279966976 is a wasteful number, since it uses less digits than its factorization.

155279966976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3148 counting only the distinct ones).

The product of its digits is 385786800, while the sum is 72.

The spelling of 155279966976 in words is "one hundred fifty-five billion, two hundred seventy-nine million, nine hundred sixty-six thousand, nine hundred seventy-six".