87139402366464 has 1440 divisors, whose sum is σ = 308924014535136. Its totient is φ = 24446848204800.

The previous prime is 87139402366453. The next prime is 87139402366469. The reversal of 87139402366464 is 46466320493178.

87139402366464 is a `hidden beast` number, since 8 + 7 + 1 + 3 + 94 + 0 + 23 + 66 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87139402366469) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84355664892 + ... + 84355665924.

Almost surely, 2^{87139402366464} is an apocalyptic number.

87139402366464 is a gapful number since it is divisible by the number (84) 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 87139402366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154462007267568).

87139402366464 is an abundant number, since it is smaller than the sum of its proper divisors (221784612168672).

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

87139402366464 is a wasteful number, since it uses less digits than its factorization.

87139402366464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 87139402366464 in words is "eighty-seven trillion, one hundred thirty-nine billion, four hundred two million, three hundred sixty-six thousand, four hundred sixty-four".