157033770768 has 300 divisors, whose sum is σ = 532895987712. Its totient is φ = 44511223680.

The previous prime is 157033770767. The next prime is 157033770791. The reversal of 157033770768 is 867077330751.

157033770768 is a `hidden beast` number, since 1 + 570 + 3 + 3 + 7 + 7 + 0 + 7 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (157033770763) 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, 8055273 + ... + 8074743.

Almost surely, 2^157033770768 is an apocalyptic number.

157033770768 is a gapful number since it is divisible by the number (18) 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 157033770768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266447993856).

157033770768 is an abundant number, since it is smaller than the sum of its proper divisors (375862216944).

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

157033770768 is a wasteful number, since it uses less digits than its factorization.

157033770768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19632 (or 19610 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 157033770768 in words is "one hundred fifty-seven billion, thirty-three million, seven hundred seventy thousand, seven hundred sixty-eight".