87192948480 has 864 divisors, whose sum is σ = 328832179200. Its totient is φ = 19626393600.

The previous prime is 87192948449. The next prime is 87192948481. The reversal of 87192948480 is 8484929178.

It is a happy number.

It is a super-2 number, since 2×87192948480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87192948481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438155421 + ... + 438155619.

It is an arithmetic number, because the mean of its divisors is an integer number (380592800).

Almost surely, 2^87192948480 is an apocalyptic number.

87192948480 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 87192948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164416089600).

87192948480 is an abundant number, since it is smaller than the sum of its proper divisors (241639230720).

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

87192948480 is a wasteful number, since it uses less digits than its factorization.

87192948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 87192948480 in words is "eighty-seven billion, one hundred ninety-two million, nine hundred forty-eight thousand, four hundred eighty".