9250122641760 has 6912 divisors, whose sum is σ = 49583207890944. Its totient is φ = 1576599552000.

The previous prime is 9250122641741. The next prime is 9250122641779. The reversal of 9250122641760 is 671462210529.

9250122641760 is a `hidden beast` number, since 9 + 2 + 5 + 0 + 1 + 226 + 417 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9250122641741) and next prime (9250122641779).

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 1151 ways as a sum of consecutive naturals, for example, 225612747340 + ... + 225612747380.

It is an arithmetic number, because the mean of its divisors is an integer number (7173496512).

Almost surely, 2^{9250122641760} is an apocalyptic number.

9250122641760 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 9250122641760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24791603945472).

9250122641760 is an abundant number, since it is smaller than the sum of its proper divisors (40333085249184).

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

9250122641760 is a wasteful number, since it uses less digits than its factorization.

9250122641760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 9250122641760 in words is "nine trillion, two hundred fifty billion, one hundred twenty-two million, six hundred forty-one thousand, seven hundred sixty".