151664578560 has 1248 divisors, whose sum is σ = 628062289920. Its totient is φ = 33443020800.

The previous prime is 151664578547. The next prime is 151664578561. The reversal of 151664578560 is 65875466151.

151664578560 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 6 + 4 + 5 + 78 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151664578497 and 151664578506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151664578561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1194209217 + ... + 1194209343.

It is an arithmetic number, because the mean of its divisors is an integer number (503255040).

Almost surely, 2^151664578560 is an apocalyptic number.

151664578560 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 151664578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314031144960).

151664578560 is an abundant number, since it is smaller than the sum of its proper divisors (476397711360).

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

151664578560 is a wasteful number, since it uses less digits than its factorization.

151664578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 151664578560 in words is "one hundred fifty-one billion, six hundred sixty-four million, five hundred seventy-eight thousand, five hundred sixty".