157954080768 has 456 divisors, whose sum is σ = 499792311360. Its totient is φ = 43882905600.

The previous prime is 157954080761. The next prime is 157954080793. The reversal of 157954080768 is 867080459751.

It is a tau number, because it is divible by the number of its divisors (456).

It is not an unprimeable number, because it can be changed into a prime (157954080761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5095292913 + ... + 5095292943.

Almost surely, 2^157954080768 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 157954080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249896155680).

157954080768 is an abundant number, since it is smaller than the sum of its proper divisors (341838230592).

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

157954080768 is an frugal number, since it uses more digits than its factorization.

157954080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 60.

The spelling of 157954080768 in words is "one hundred fifty-seven billion, nine hundred fifty-four million, eighty thousand, seven hundred sixty-eight".