1983772697088 has 640 divisors, whose sum is σ = 6946275409920. Its totient is φ = 488825487360.

The previous prime is 1983772697083. The next prime is 1983772697111. The reversal of 1983772697088 is 8807962773891.

It is a super-2 number, since 2×1983772697088² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1983772697083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125650731 + ... + 125666517.

It is an arithmetic number, because the mean of its divisors is an integer number (10853555328).

Almost surely, 2^{1983772697088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1983772697088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473137704960).

1983772697088 is an abundant number, since it is smaller than the sum of its proper divisors (4962502712832).

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

1983772697088 is a wasteful number, since it uses less digits than its factorization.

1983772697088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15888 (or 15872 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 75.

The spelling of 1983772697088 in words is "one trillion, nine hundred eighty-three billion, seven hundred seventy-two million, six hundred ninety-seven thousand, eighty-eight".