2157738066432 has 480 divisors, whose sum is σ = 6869566319616. Its totient is φ = 647958528000.

The previous prime is 2157738066431. The next prime is 2157738066433. The reversal of 2157738066432 is 2346608377512.

It is a happy number.

2157738066432 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 73 + 80 + 66 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (2157738066431) and next prime (2157738066433).

It is not an unprimeable number, because it can be changed into a prime (2157738066431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429569073 + ... + 429574095.

Almost surely, 2^{2157738066432} 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 2157738066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434783159808).

2157738066432 is an abundant number, since it is smaller than the sum of its proper divisors (4711828253184).

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

2157738066432 is a wasteful number, since it uses less digits than its factorization.

2157738066432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 2157738066432 in words is "two trillion, one hundred fifty-seven billion, seven hundred thirty-eight million, sixty-six thousand, four hundred thirty-two".