1681238761020 has 1536 divisors, whose sum is σ = 7239794688000. Its totient is φ = 313841848320.

The previous prime is 1681238760983. The next prime is 1681238761109. The reversal of 1681238761020 is 201678321861.

1681238761020 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 2 + 3 + 8 + 7 + 610 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 839359339 + ... + 839361341.

It is an arithmetic number, because the mean of its divisors is an integer number (4713408000).

Almost surely, 2^{1681238761020} is an apocalyptic number.

1681238761020 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 1681238761020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619897344000).

1681238761020 is an abundant number, since it is smaller than the sum of its proper divisors (5558555926980).

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

1681238761020 is a wasteful number, since it uses less digits than its factorization.

1681238761020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1681238761020 in words is "one trillion, six hundred eighty-one billion, two hundred thirty-eight million, seven hundred sixty-one thousand, twenty".