151054268807680 has 320 divisors, whose sum is σ = 428242029684480. Its totient is φ = 49997935411200.

The previous prime is 151054268807671. The next prime is 151054268807707. The reversal of 151054268807680 is 86708862450151.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6221077140 + ... + 6221101420.

It is an arithmetic number, because the mean of its divisors is an integer number (1338256342764).

Almost surely, 2^{151054268807680} is an apocalyptic number.

151054268807680 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 151054268807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214121014842240).

151054268807680 is an abundant number, since it is smaller than the sum of its proper divisors (277187760876800).

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

151054268807680 is a wasteful number, since it uses less digits than its factorization.

151054268807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36311 (or 36295 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 61.

The spelling of 151054268807680 in words is "one hundred fifty-one trillion, fifty-four billion, two hundred sixty-eight million, eight hundred seven thousand, six hundred eighty".