10000835060400 has 180 divisors, whose sum is σ = 34797252120280. Its totient is φ = 2659852339200.

The previous prime is 10000835060347. The next prime is 10000835060413. The reversal of 10000835060400 is 406053800001.

10000835060400 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 8 + 3 + 50 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2300521 + ... + 5029320.

Almost surely, 2^{10000835060400} is an apocalyptic number.

10000835060400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000835060400 is an abundant number, since it is smaller than the sum of its proper divisors (24796417059880).

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

10000835060400 is a wasteful number, since it uses less digits than its factorization.

10000835060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7330244 (or 7330230 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10000835060400 its reverse (406053800001), we get a palindrome (10406888860401).

The spelling of 10000835060400 in words is "ten trillion, eight hundred thirty-five million, sixty thousand, four hundred".