10098950400 has 1620 divisors, whose sum is σ = 48946408896. Its totient is φ = 2007244800.

The previous prime is 10098950399. The next prime is 10098950447. The reversal of 10098950400 is 405989001.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 439084789 + ... + 439084811.

Almost surely, 2^10098950400 is an apocalyptic number.

10098950400 is a gapful number since it is divisible by the number (10) 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 10098950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24473204448).

10098950400 is an abundant number, since it is smaller than the sum of its proper divisors (38847458496).

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

10098950400 is a wasteful number, since it uses less digits than its factorization.

10098950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10098950400 in words is "ten billion, ninety-eight million, nine hundred fifty thousand, four hundred".