161353892700 has 1152 divisors, whose sum is σ = 702195056640. Its totient is φ = 30695500800.

The previous prime is 161353892669. The next prime is 161353892729. The reversal of 161353892700 is 7298353161.

161353892700 is a `hidden beast` number, since 1 + 613 + 5 + 3 + 8 + 9 + 27 + 0 + 0 = 666.

It is a super-2 number, since 2×161353892700² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 613512769 + ... + 613513031.

It is an arithmetic number, because the mean of its divisors is an integer number (609544320).

Almost surely, 2^161353892700 is an apocalyptic number.

161353892700 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 161353892700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351097528320).

161353892700 is an abundant number, since it is smaller than the sum of its proper divisors (540841163940).

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

161353892700 is a wasteful number, since it uses less digits than its factorization.

161353892700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 161353892700 in words is "one hundred sixty-one billion, three hundred fifty-three million, eight hundred ninety-two thousand, seven hundred".