87425881200 has 240 divisors, whose sum is σ = 355624738560. Its totient is φ = 19983041280.

The previous prime is 87425881199. The next prime is 87425881201. The reversal of 87425881200 is 218852478.

It is a happy number.

87425881200 is a `hidden beast` number, since 8 + 7 + 42 + 588 + 1 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87425881199) and next prime (87425881201).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87425881201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502614 + ... + 653813.

It is an arithmetic number, because the mean of its divisors is an integer number (1481769744).

Almost surely, 2^87425881200 is an apocalyptic number.

87425881200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87425881200 is an abundant number, since it is smaller than the sum of its proper divisors (268198857360).

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

87425881200 is a wasteful number, since it uses less digits than its factorization.

87425881200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156461 (or 1156444 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 87425881200 in words is "eighty-seven billion, four hundred twenty-five million, eight hundred eighty-one thousand, two hundred".