92161742400 has 1008 divisors, whose sum is σ = 411072689664. Its totient is φ = 19063848960.

The previous prime is 92161742389. The next prime is 92161742471. The reversal of 92161742400 is 424716129.

It is a happy number.

92161742400 is a `hidden beast` number, since 9 + 216 + 17 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69450537 + ... + 69451863.

It is an arithmetic number, because the mean of its divisors is an integer number (407810208).

Almost surely, 2^92161742400 is an apocalyptic number.

92161742400 is a gapful number since it is divisible by the number (90) 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 92161742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205536344832).

92161742400 is an abundant number, since it is smaller than the sum of its proper divisors (318910947264).

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

92161742400 is a wasteful number, since it uses less digits than its factorization.

92161742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

It can be divided in two parts, 9216 and 1742400, that multiplied together give a square (16057958400 = 126720²).

The spelling of 92161742400 in words is "ninety-two billion, one hundred sixty-one million, seven hundred forty-two thousand, four hundred".