10498998720 has 672 divisors, whose sum is σ = 43281112320. Its totient is φ = 2136637440.

The previous prime is 10498998689. The next prime is 10498998779. The reversal of 10498998720 is 2789989401.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×10498998720⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15193575 + ... + 15194265.

Almost surely, 2^10498998720 is an apocalyptic number.

10498998720 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 10498998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21640556160).

10498998720 is an abundant number, since it is smaller than the sum of its proper divisors (32782113600).

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

10498998720 is a wasteful number, since it uses less digits than its factorization.

10498998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 57.

The spelling of 10498998720 in words is "ten billion, four hundred ninety-eight million, nine hundred ninety-eight thousand, seven hundred twenty".