98055405276400 has 240 divisors, whose sum is σ = 286306655513760. Its totient is φ = 31778746675200.

The previous prime is 98055405276341. The next prime is 98055405276407. The reversal of 98055405276400 is 467250455089.

It is a super-2 number, since 2×98055405276400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98055405276407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27897327 + ... + 31214926.

It is an arithmetic number, because the mean of its divisors is an integer number (1192944397974).

Almost surely, 2^{98055405276400} is an apocalyptic number.

It is an amenable number.

98055405276400 is an abundant number, since it is smaller than the sum of its proper divisors (188251250237360).

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

98055405276400 is a wasteful number, since it uses less digits than its factorization.

98055405276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59112324 (or 59112313 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 55.

The spelling of 98055405276400 in words is "ninety-eight trillion, fifty-five billion, four hundred five million, two hundred seventy-six thousand, four hundred".