87451902720 has 2160 divisors, whose sum is σ = 417118851072. Its totient is φ = 17079828480.

The previous prime is 87451902719. The next prime is 87451902721. The reversal of 87451902720 is 2720915478.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87451902719) and next prime (87451902721).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-4 number, since 4×87451902720⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87451902721) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2821029105 + ... + 2821029135.

Almost surely, 2^87451902720 is an apocalyptic number.

87451902720 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 87451902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208559425536).

87451902720 is an abundant number, since it is smaller than the sum of its proper divisors (329666948352).

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

87451902720 is a wasteful number, since it uses less digits than its factorization.

87451902720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 87451902720 in words is "eighty-seven billion, four hundred fifty-one million, nine hundred two thousand, seven hundred twenty".