10202734080 has 1120 divisors, whose sum is σ = 46371460608. Its totient is φ = 2090188800.

The previous prime is 10202734067. The next prime is 10202734099. The reversal of 10202734080 is 8043720201.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 143700445 + ... + 143700515.

Almost surely, 2^10202734080 is an apocalyptic number.

10202734080 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 10202734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23185730304).

10202734080 is an abundant number, since it is smaller than the sum of its proper divisors (36168726528).

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

10202734080 is an frugal number, since it uses more digits than its factorization.

10202734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10202734080 in words is "ten billion, two hundred two million, seven hundred thirty-four thousand, eighty".