10484776400 has 120 divisors (see below), whose sum is σ = 29218397760. Its totient is φ = 3541063680.

The previous prime is 10484776399. The next prime is 10484776409. The reversal of 10484776400 is 467748401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10484776409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159656 + ... + 215544.

It is an arithmetic number, because the mean of its divisors is an integer number (243486648).

Almost surely, 2^10484776400 is an apocalyptic number.

10484776400 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 10484776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14609198880).

10484776400 is an abundant number, since it is smaller than the sum of its proper divisors (18733621360).

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

10484776400 is a wasteful number, since it uses less digits than its factorization.

10484776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55981 (or 55970 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 10484776400 in words is "ten billion, four hundred eighty-four million, seven hundred seventy-six thousand, four hundred".