10492435200 has 432 divisors, whose sum is σ = 37698031616. Its totient is φ = 2554675200.

The previous prime is 10492435199. The next prime is 10492435211. The reversal of 10492435200 is 253429401.

It is a super-2 number, since 2×10492435200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31699035 + ... + 31699365.

Almost surely, 2^10492435200 is an apocalyptic number.

10492435200 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 10492435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849015808).

10492435200 is an abundant number, since it is smaller than the sum of its proper divisors (27205596416).

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

10492435200 is a wasteful number, since it uses less digits than its factorization.

10492435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10492435200 in words is "ten billion, four hundred ninety-two million, four hundred thirty-five thousand, two hundred".