98122752000 has 1680 divisors, whose sum is σ = 452735423712. Its totient is φ = 20702822400.

The previous prime is 98122751989. The next prime is 98122752019. The reversal of 98122752000 is 25722189.

98122752000 is a `hidden beast` number, since 9 + 8 + 122 + 7 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7547903994 + ... + 7547904006.

Almost surely, 2^98122752000 is an apocalyptic number.

98122752000 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 98122752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226367711856).

98122752000 is an abundant number, since it is smaller than the sum of its proper divisors (354612671712).

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

98122752000 is an equidigital number, since it uses as much as digits as its factorization.

98122752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 98122752000 in words is "ninety-eight billion, one hundred twenty-two million, seven hundred fifty-two thousand".