87950428919721 has 15 divisors (see below), whose sum is σ = 131382865582023. Its totient is φ = 58633563010680.

The previous prime is 87950428919701. The next prime is 87950428919779. The reversal of 87950428919721 is 12791982405978.

The square root of 87950428919721 is 9378189.

It is a perfect power (a square), and thus also a powerful number.

87950428919721 is a `hidden beast` number, since 8 + 7 + 9 + 5 + 0 + 428 + 9 + 197 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44839911380121 + 43110517539600 = 6696261^2 + 6565860^2 .

It is not a de Polignac number, because 87950428919721 - 2⁴⁵ = 52766056830889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87950428919721.

It is not an unprimeable number, because it can be changed into a prime (87950428919701) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 83882691 + ... + 84924711.

Almost surely, 2^{87950428919721} is an apocalyptic number.

87950428919721 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

87950428919721 is the 9378189-th square number.

87950428919721 is the 4689095-th centered octagonal number.

It is an amenable number.

87950428919721 is a deficient number, since it is larger than the sum of its proper divisors (43432436662302).

87950428919721 is an frugal number, since it uses more digits than its factorization.

87950428919721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084054 (or 1042024 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 72.

The spelling of 87950428919721 in words is "eighty-seven trillion, nine hundred fifty billion, four hundred twenty-eight million, nine hundred nineteen thousand, seven hundred twenty-one".