98503485696000 has 7680 divisors, whose sum is σ = 512907249254400. Its totient is φ = 18154782720000.

The previous prime is 98503485695977. The next prime is 98503485696097. The reversal of 98503485696000 is 69658430589.

98503485696000 is a `hidden beast` number, since 9 + 8 + 5 + 0 + 3 + 4 + 8 + 569 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 515725055905 + ... + 515725056095.

It is an arithmetic number, because the mean of its divisors is an integer number (66784798080).

Almost surely, 2^{98503485696000} is an apocalyptic number.

98503485696000 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 98503485696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256453624627200).

98503485696000 is an abundant number, since it is smaller than the sum of its proper divisors (414403763558400).

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

98503485696000 is a wasteful number, since it uses less digits than its factorization.

98503485696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 98503485696000 in words is "ninety-eight trillion, five hundred three billion, four hundred eighty-five million, six hundred ninety-six thousand".