10297778400 has 1152 divisors, whose sum is σ = 47596953600. Its totient is φ = 2102630400.

The previous prime is 10297778383. The next prime is 10297778419. The reversal of 10297778400 is 487779201.

It is a happy number.

10297778400 is a `hidden beast` number, since 102 + 9 + 77 + 78 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 332186385 + ... + 332186415.

It is an arithmetic number, because the mean of its divisors is an integer number (41316800).

Almost surely, 2^10297778400 is an apocalyptic number.

10297778400 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 10297778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23798476800).

10297778400 is an abundant number, since it is smaller than the sum of its proper divisors (37299175200).

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

10297778400 is a wasteful number, since it uses less digits than its factorization.

10297778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 10297778400 in words is "ten billion, two hundred ninety-seven million, seven hundred seventy-eight thousand, four hundred".