98907151974400 has 3240 divisors, whose sum is σ = 352601111678256. Its totient is φ = 27111142195200.

The previous prime is 98907151974373. The next prime is 98907151974443. The reversal of 98907151974400 is 447915170989.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1354892492764 + ... + 1354892492836.

Almost surely, 2^{98907151974400} 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 98907151974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176300555839128).

98907151974400 is an abundant number, since it is smaller than the sum of its proper divisors (253693959703856).

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

98907151974400 is a wasteful number, since it uses less digits than its factorization.

98907151974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 64.

The spelling of 98907151974400 in words is "ninety-eight trillion, nine hundred seven billion, one hundred fifty-one million, nine hundred seventy-four thousand, four hundred".