16507412451400 has 48 divisors (see below), whose sum is σ = 41332021182900. Its totient is φ = 6095044596480.

The previous prime is 16507412451349. The next prime is 16507412451403. The reversal of 16507412451400 is 415421470561.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4317161417284 + 12190251034116 = 2077778^2 + 3491454^2 .

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 (16507412451403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3174499795 + ... + 3174504994.

Almost surely, 2^{16507412451400} is an apocalyptic number.

16507412451400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16507412451400 is an abundant number, since it is smaller than the sum of its proper divisors (24824608731500).

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

16507412451400 is a wasteful number, since it uses less digits than its factorization.

16507412451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349004818 (or 6349004809 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 16507412451400 in words is "sixteen trillion, five hundred seven billion, four hundred twelve million, four hundred fifty-one thousand, four hundred".