87414132546720 has 288 divisors, whose sum is σ = 345022531281792. Its totient is φ = 19739645577216.

The previous prime is 87414132546707. The next prime is 87414132546733. The reversal of 87414132546720 is 2764523141478.

87414132546720 is a `hidden beast` number, since 8 + 7 + 4 + 1 + 41 + 32 + 546 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (87414132546707) and next prime (87414132546733).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51404547 + ... + 53077826.

It is an arithmetic number, because the mean of its divisors is an integer number (1197994900284).

Almost surely, 2^{87414132546720} is an apocalyptic number.

87414132546720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87414132546720 is an abundant number, since it is smaller than the sum of its proper divisors (257608398735072).

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

87414132546720 is a wasteful number, since it uses less digits than its factorization.

87414132546720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104482484 (or 104482473 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 87414132546720 in words is "eighty-seven trillion, four hundred fourteen billion, one hundred thirty-two million, five hundred forty-six thousand, seven hundred twenty".