87702289920 has 1600 divisors, whose sum is σ = 390148171776. Its totient is φ = 18393661440.

The previous prime is 87702289903. The next prime is 87702289921. The reversal of 87702289920 is 2998220778.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87702289921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1235243485 + ... + 1235243555.

Almost surely, 2^87702289920 is an apocalyptic number.

87702289920 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 87702289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195074085888).

87702289920 is an abundant number, since it is smaller than the sum of its proper divisors (302445881856).

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

87702289920 is a wasteful number, since it uses less digits than its factorization.

87702289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 87702289920 in words is "eighty-seven billion, seven hundred two million, two hundred eighty-nine thousand, nine hundred twenty".