87410287641600 has 1320 divisors, whose sum is σ = 403537382960448. Its totient is φ = 18163143475200.

The previous prime is 87410287641583. The next prime is 87410287641623. The reversal of 87410287641600 is 614678201478.

87410287641600 is a `hidden beast` number, since 8 + 7 + 4 + 1 + 0 + 28 + 7 + 6 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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 119 ways as a sum of consecutive naturals, for example, 159393474 + ... + 159940926.

Almost surely, 2^{87410287641600} is an apocalyptic number.

87410287641600 is a gapful number since it is divisible by the number (80) 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 87410287641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201768691480224).

87410287641600 is an abundant number, since it is smaller than the sum of its proper divisors (316127095318848).

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

87410287641600 is a wasteful number, since it uses less digits than its factorization.

87410287641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547513 (or 547481 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 87410287641600 in words is "eighty-seven trillion, four hundred ten billion, two hundred eighty-seven million, six hundred forty-one thousand, six hundred".