157516726464 has 420 divisors, whose sum is σ = 506790874656. Its totient is φ = 48343965696.

The previous prime is 157516726463. The next prime is 157516726469. The reversal of 157516726464 is 464627615751.

157516726464 is a `hidden beast` number, since 1 + 5 + 7 + 516 + 7 + 2 + 64 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 157516726464.

It is not an unprimeable number, because it can be changed into a prime (157516726463) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70413154 + ... + 70415390.

Almost surely, 2^157516726464 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 157516726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253395437328).

157516726464 is an abundant number, since it is smaller than the sum of its proper divisors (349274148192).

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

157516726464 is a wasteful number, since it uses less digits than its factorization.

157516726464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2306 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 157516726464 in words is "one hundred fifty-seven billion, five hundred sixteen million, seven hundred twenty-six thousand, four hundred sixty-four".