10350646551400 has 48 divisors (see below), whose sum is σ = 24895089564300. Its totient is φ = 3997491079680.

The previous prime is 10350646551383. The next prime is 10350646551407. The reversal of 10350646551400 is 415564605301.

It is a happy number.

10350646551400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4051339686436 + 6299306864964 = 2012794^2 + 2509842^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10350646551407) 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, 892291317 + ... + 892302916.

Almost surely, 2^{10350646551400} is an apocalyptic number.

10350646551400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10350646551400 is an abundant number, since it is smaller than the sum of its proper divisors (14544443012900).

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

10350646551400 is a wasteful number, since it uses less digits than its factorization.

10350646551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784594278 (or 1784594269 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 10350646551400 in words is "ten trillion, three hundred fifty billion, six hundred forty-six million, five hundred fifty-one thousand, four hundred".