10357122400 has 72 divisors (see below), whose sum is σ = 25361361144. Its totient is φ = 4130227200.

The previous prime is 10357122389. The next prime is 10357122403. The reversal of 10357122400 is 422175301.

It is a happy number.

It is a super-3 number, since 3×10357122400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10357122403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245244 + ... + 284356.

It is an arithmetic number, because the mean of its divisors is an integer number (352241127).

Almost surely, 2^10357122400 is an apocalyptic number.

10357122400 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 10357122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680680572).

10357122400 is an abundant number, since it is smaller than the sum of its proper divisors (15004238744).

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

10357122400 is a wasteful number, since it uses less digits than its factorization.

10357122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39464 (or 39451 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 10357122400 its reverse (422175301), we get a palindrome (10779297701).

The spelling of 10357122400 in words is "ten billion, three hundred fifty-seven million, one hundred twenty-two thousand, four hundred".