10874648400 has 1440 divisors, whose sum is σ = 49977658368. Its totient is φ = 1986969600.

The previous prime is 10874648371. The next prime is 10874648401. The reversal of 10874648400 is 484647801.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10874648401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 252898779 + ... + 252898821.

Almost surely, 2^10874648400 is an apocalyptic number.

10874648400 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 10874648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24988829184).

10874648400 is an abundant number, since it is smaller than the sum of its proper divisors (39103009968).

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

10874648400 is a wasteful number, since it uses less digits than its factorization.

10874648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 10874648400 in words is "ten billion, eight hundred seventy-four million, six hundred forty-eight thousand, four hundred".