87400792401 has 32 divisors (see below), whose sum is σ = 126195189120. Its totient is φ = 53487143424.

The previous prime is 87400792399. The next prime is 87400792403. The reversal of 87400792401 is 10429700478.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87400792399) and next prime (87400792403).

It is not a de Polignac number, because 87400792401 - 2¹ = 87400792399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87400792403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7800135 + ... + 7811331.

It is an arithmetic number, because the mean of its divisors is an integer number (3943599660).

Almost surely, 2^87400792401 is an apocalyptic number.

It is an amenable number.

87400792401 is a deficient number, since it is larger than the sum of its proper divisors (38794396719).

87400792401 is a wasteful number, since it uses less digits than its factorization.

87400792401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12305.

The product of its (nonzero) digits is 112896, while the sum is 42.

It can be divided in two parts, 87400 and 792401, that added together give a triangular number (879801 = T₁₃₂₆).

The spelling of 87400792401 in words is "eighty-seven billion, four hundred million, seven hundred ninety-two thousand, four hundred one".