87969411072 has 520 divisors, whose sum is σ = 279731168640. Its totient is φ = 27497594880.

The previous prime is 87969411037. The next prime is 87969411107. The reversal of 87969411072 is 27011496978.

It is an interprime number because it is at equal distance from previous prime (87969411037) and next prime (87969411107).

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 39 ways as a sum of consecutive naturals, for example, 394481553 + ... + 394481775.

Almost surely, 2^87969411072 is an apocalyptic number.

87969411072 is a gapful number since it is divisible by the number (82) 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 87969411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139865584320).

87969411072 is an abundant number, since it is smaller than the sum of its proper divisors (191761757568).

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

87969411072 is a wasteful number, since it uses less digits than its factorization.

87969411072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 87969411072 in words is "eighty-seven billion, nine hundred sixty-nine million, four hundred eleven thousand, seventy-two".