104430275763000 has 512 divisors, whose sum is σ = 366986510991360. Its totient is φ = 24494568000000.

The previous prime is 104430275762999. The next prime is 104430275763001. The reversal of 104430275763000 is 367572034401.

It is an interprime number because it is at equal distance from previous prime (104430275762999) and next prime (104430275763001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104430275763001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7069945615 + ... + 7069960385.

It is an arithmetic number, because the mean of its divisors is an integer number (716770529280).

Almost surely, 2^{104430275763000} is an apocalyptic number.

104430275763000 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 104430275763000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183493255495680).

104430275763000 is an abundant number, since it is smaller than the sum of its proper divisors (262556235228360).

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

104430275763000 is a wasteful number, since it uses less digits than its factorization.

104430275763000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21748 (or 21734 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 104430275763000 in words is "one hundred four trillion, four hundred thirty billion, two hundred seventy-five million, seven hundred sixty-three thousand".