10088904840 has 256 divisors, whose sum is σ = 35126784000. Its totient is φ = 2270592000.

The previous prime is 10088904769. The next prime is 10088904853. The reversal of 10088904840 is 4840988001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10088904792 and 10088904801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22981341 + ... + 22981779.

It is an arithmetic number, because the mean of its divisors is an integer number (137214000).

Almost surely, 2^10088904840 is an apocalyptic number.

10088904840 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 10088904840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563392000).

10088904840 is an abundant number, since it is smaller than the sum of its proper divisors (25037879160).

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

10088904840 is a wasteful number, since it uses less digits than its factorization.

10088904840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 10088904840 in words is "ten billion, eighty-eight million, nine hundred four thousand, eight hundred forty".