9098495078400 has 3744 divisors, whose sum is σ = 43596082449920. Its totient is φ = 1810382192640.

The previous prime is 9098495078389. The next prime is 9098495078419. The reversal of 9098495078400 is 48705948909.

9098495078400 is a `hidden beast` number, since 9 + 0 + 9 + 8 + 49 + 507 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×9098495078400² (a number of 27 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 211592908779 + ... + 211592908821.

Almost surely, 2^{9098495078400} is an apocalyptic number.

9098495078400 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 9098495078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21798041224960).

9098495078400 is an abundant number, since it is smaller than the sum of its proper divisors (34497587371520).

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

9098495078400 is a wasteful number, since it uses less digits than its factorization.

9098495078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 9098495078400 in words is "nine trillion, ninety-eight billion, four hundred ninety-five million, seventy-eight thousand, four hundred".