161786258000640 has 5184 divisors, whose sum is σ = 787787949312000. Its totient is φ = 30283324194816.

The previous prime is 161786258000639. The next prime is 161786258000651. The reversal of 161786258000640 is 46000852687161.

161786258000640 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 8 + 625 + 8 + 0 + 0 + 0 + 6 + 4 + 0 = 666.

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, 812996271261 + ... + 812996271459.

It is an arithmetic number, because the mean of its divisors is an integer number (151965268000).

Almost surely, 2^{161786258000640} is an apocalyptic number.

161786258000640 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 161786258000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393893974656000).

161786258000640 is an abundant number, since it is smaller than the sum of its proper divisors (626001691311360).

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

161786258000640 is a wasteful number, since it uses less digits than its factorization.

161786258000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 161786258000640 in words is "one hundred sixty-one trillion, seven hundred eighty-six billion, two hundred fifty-eight million, six hundred forty", and thus it is an aban number.