98738294054400 has 2160 divisors, whose sum is σ = 482913549085968. Its totient is φ = 18938658816000.

The previous prime is 98738294054381. The next prime is 98738294054417. The reversal of 98738294054400 is 445049283789.

98738294054400 is a `hidden beast` number, since 9 + 8 + 7 + 3 + 82 + 9 + 4 + 0 + 544 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 807145240 + ... + 807267560.

Almost surely, 2^{98738294054400} is an apocalyptic number.

98738294054400 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 98738294054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241456774542984).

98738294054400 is an abundant number, since it is smaller than the sum of its proper divisors (384175255031568).

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

98738294054400 is a wasteful number, since it uses less digits than its factorization.

98738294054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122393 (or 122362 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 98738294054400 in words is "ninety-eight trillion, seven hundred thirty-eight billion, two hundred ninety-four million, fifty-four thousand, four hundred".