1987766295040 has 80 divisors (see below), whose sum is σ = 5046332172552. Its totient is φ = 748335529984.

The previous prime is 1987766295013. The next prime is 1987766295043. The reversal of 1987766295040 is 405926677891.

It can be written as a sum of positive squares in 4 ways, for example, as 1192359170304 + 795407124736 = 1091952^2 + 891856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (1987766295043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22793869 + ... + 22880908.

Almost surely, 2^{1987766295040} is an apocalyptic number.

1987766295040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1987766295040 is an abundant number, since it is smaller than the sum of its proper divisors (3058565877512).

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

1987766295040 is an equidigital number, since it uses as much as digits as its factorization.

1987766295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45674817 (or 45674801 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

The spelling of 1987766295040 in words is "one trillion, nine hundred eighty-seven billion, seven hundred sixty-six million, two hundred ninety-five thousand, forty".