151573112293680 has 2880 divisors, whose sum is σ = 732209335603200. Its totient is φ = 28685751091200.

The previous prime is 151573112293667. The next prime is 151573112293717. The reversal of 151573112293680 is 86392211375151.

It is a happy number.

151573112293680 is a `hidden beast` number, since 1 + 5 + 1 + 57 + 3 + 1 + 1 + 229 + 368 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5521976596 + ... + 5522004044.

It is an arithmetic number, because the mean of its divisors is an integer number (254239352640).

Almost surely, 2^{151573112293680} is an apocalyptic number.

151573112293680 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 151573112293680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366104667801600).

151573112293680 is an abundant number, since it is smaller than the sum of its proper divisors (580636223309520).

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

151573112293680 is a wasteful number, since it uses less digits than its factorization.

151573112293680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27550 (or 27525 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 151573112293680 in words is "one hundred fifty-one trillion, five hundred seventy-three billion, one hundred twelve million, two hundred ninety-three thousand, six hundred eighty".