140587591680 has 672 divisors, whose sum is σ = 520450093800. Its totient is φ = 36405116928.

The previous prime is 140587591679. The next prime is 140587591721. The reversal of 140587591680 is 86195785041.

It is a happy number.

140587591680 is a `hidden beast` number, since 1 + 4 + 0 + 587 + 59 + 1 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 139959788544 + 627803136 = 374112^2 + 25056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 276203266 + ... + 276203774.

Almost surely, 2^140587591680 is an apocalyptic number.

140587591680 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 140587591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260225046900).

140587591680 is an abundant number, since it is smaller than the sum of its proper divisors (379862502120).

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

140587591680 is an frugal number, since it uses more digits than its factorization.

140587591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 140587591680 in words is "one hundred forty billion, five hundred eighty-seven million, five hundred ninety-one thousand, six hundred eighty".