87450445938240 has 8960 divisors, whose sum is σ = 455185311989760. Its totient is φ = 15383789568000.

The previous prime is 87450445938217. The next prime is 87450445938307. The reversal of 87450445938240 is 4283954405478.

87450445938240 is a `hidden beast` number, since 8 + 7 + 4 + 504 + 4 + 5 + 9 + 3 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 1433613867810 + ... + 1433613867870.

Almost surely, 2^{87450445938240} is an apocalyptic number.

87450445938240 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 87450445938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227592655994880).

87450445938240 is an abundant number, since it is smaller than the sum of its proper divisors (367734866051520).

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

87450445938240 is a wasteful number, since it uses less digits than its factorization.

87450445938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 87450445938240 in words is "eighty-seven trillion, four hundred fifty billion, four hundred forty-five million, nine hundred thirty-eight thousand, two hundred forty".