1682293298400 has 1728 divisors, whose sum is σ = 7319519020800. Its totient is φ = 370336665600.

The previous prime is 1682293298377. The next prime is 1682293298407. The reversal of 1682293298400 is 48923922861.

1682293298400 is a `hidden beast` number, since 1 + 6 + 8 + 229 + 3 + 2 + 9 + 8 + 400 = 666.

It is a super-2 number, since 2×1682293298400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682293298407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2276445231 + ... + 2276445969.

Almost surely, 2^{1682293298400} is an apocalyptic number.

1682293298400 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 1682293298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659759510400).

1682293298400 is an abundant number, since it is smaller than the sum of its proper divisors (5637225722400).

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

1682293298400 is a wasteful number, since it uses less digits than its factorization.

1682293298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1682293298400 in words is "one trillion, six hundred eighty-two billion, two hundred ninety-three million, two hundred ninety-eight thousand, four hundred".