1021628361600 has 2592 divisors, whose sum is σ = 4836413574720. Its totient is φ = 204374016000.

The previous prime is 1021628361529. The next prime is 1021628361673. The reversal of 1021628361600 is 61638261201.

It is a happy number.

1021628361600 is a `hidden beast` number, since 1 + 0 + 2 + 16 + 2 + 8 + 36 + 1 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 5293411104 + ... + 5293411296.

Almost surely, 2^{1021628361600} is an apocalyptic number.

1021628361600 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 1021628361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418206787360).

1021628361600 is an abundant number, since it is smaller than the sum of its proper divisors (3814785213120).

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

1021628361600 is a wasteful number, since it uses less digits than its factorization.

1021628361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1021628361600 in words is "one trillion, twenty-one billion, six hundred twenty-eight million, three hundred sixty-one thousand, six hundred".