98123886157440 has 1024 divisors, whose sum is σ = 380181653913600. Its totient is φ = 21200265216000.

The previous prime is 98123886157433. The next prime is 98123886157501. The reversal of 98123886157440 is 4475168832189.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3736473910 + ... + 3736500170.

It is an arithmetic number, because the mean of its divisors is an integer number (371271146400).

It is a 1-persistent number, because it is pandigital, but 2⋅98123886157440 = 196247772314880 is not.

Almost surely, 2^{98123886157440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98123886157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190090826956800).

98123886157440 is an abundant number, since it is smaller than the sum of its proper divisors (282057767756160).

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

98123886157440 is a wasteful number, since it uses less digits than its factorization.

98123886157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26777 (or 26765 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 98123886157440 in words is "ninety-eight trillion, one hundred twenty-three billion, eight hundred eighty-six million, one hundred fifty-seven thousand, four hundred forty".