98957248266240 has 2560 divisors, whose sum is σ = 443525176765440. Its totient is φ = 20550449627136.

The previous prime is 98957248266223. The next prime is 98957248266251. The reversal of 98957248266240 is 4266284275989.

98957248266240 is a `hidden beast` number, since 9 + 8 + 9 + 572 + 4 + 8 + 2 + 6 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80913530269 + ... + 80913531491.

It is an arithmetic number, because the mean of its divisors is an integer number (173252022174).

Almost surely, 2^{98957248266240} is an apocalyptic number.

98957248266240 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 98957248266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221762588382720).

98957248266240 is an abundant number, since it is smaller than the sum of its proper divisors (344567928499200).

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

98957248266240 is a wasteful number, since it uses less digits than its factorization.

98957248266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 98957248266240 in words is "ninety-eight trillion, nine hundred fifty-seven billion, two hundred forty-eight million, two hundred sixty-six thousand, two hundred forty".