87869214720 has 1560 divisors, whose sum is σ = 390481876224. Its totient is φ = 18802409472.

The previous prime is 87869214691. The next prime is 87869214737. The reversal of 87869214720 is 2741296878.

It is a happy number.

87869214720 is a `hidden beast` number, since 8 + 7 + 86 + 92 + 1 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1869557737 + ... + 1869557783.

Almost surely, 2^87869214720 is an apocalyptic number.

87869214720 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 87869214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195240938112).

87869214720 is an abundant number, since it is smaller than the sum of its proper divisors (302612661504).

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

87869214720 is a wasteful number, since it uses less digits than its factorization.

87869214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 87869214720 in words is "eighty-seven billion, eight hundred sixty-nine million, two hundred fourteen thousand, seven hundred twenty".