16284457642950 has 720 divisors, whose sum is σ = 54817577923680. Its totient is φ = 3510610191360.

The previous prime is 16284457642913. The next prime is 16284457642987. The reversal of 16284457642950 is 5924675448261.

16284457642950 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 4 + 4 + 576 + 4 + 2 + 9 + 50 = 666.

16284457642950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16284457642913) and next prime (16284457642987).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2384600136 + ... + 2384606964.

It is an arithmetic number, because the mean of its divisors is an integer number (76135524894).

Almost surely, 2^{16284457642950} is an apocalyptic number.

16284457642950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16284457642950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27408788961840).

16284457642950 is an abundant number, since it is smaller than the sum of its proper divisors (38533120280730).

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

16284457642950 is a wasteful number, since it uses less digits than its factorization.

16284457642950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 16284457642950 in words is "sixteen trillion, two hundred eighty-four billion, four hundred fifty-seven million, six hundred forty-two thousand, nine hundred fifty".