87019273203840 has 96 divisors (see below), whose sum is σ = 300488427801900. Its totient is φ = 23205139519488.

The previous prime is 87019273203823. The next prime is 87019273203869. The reversal of 87019273203840 is 4830237291078.

87019273203840 is a `hidden beast` number, since 8 + 7 + 0 + 192 + 73 + 2 + 0 + 384 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74878285594176 + 12140987609664 = 8653224^2 + 3484392^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7553750595 + ... + 7553762114.

Almost surely, 2^{87019273203840} is an apocalyptic number.

87019273203840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87019273203840 is an abundant number, since it is smaller than the sum of its proper divisors (213469154598060).

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

87019273203840 is a wasteful number, since it uses less digits than its factorization.

87019273203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15107512734 (or 15107512719 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 87019273203840 in words is "eighty-seven trillion, nineteen billion, two hundred seventy-three million, two hundred three thousand, eight hundred forty".