87347342160400 has 405 divisors, whose sum is σ = 246018804079797. Its totient is φ = 29715730329600.

The previous prime is 87347342160341. The next prime is 87347342160401. The reversal of 87347342160400 is 406124374378.

The square root of 87347342160400 is 9345980.

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

It can be written as a sum of positive squares in 13 ways, for example, as 63451356884496 + 23895985275904 = 7965636^2 + 4888352^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (87347342160401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 315333365062 + ... + 315333365338.

Almost surely, 2^{87347342160400} is an apocalyptic number.

87347342160400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87347342160400 is the 9345980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87347342160400

87347342160400 is an abundant number, since it is smaller than the sum of its proper divisors (158671461919397).

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

87347342160400 is an equidigital number, since it uses as much as digits as its factorization.

87347342160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

87347342160400 divided by its sum of digits (49) gives a square (1782598819600 = 1335140²).

The spelling of 87347342160400 in words is "eighty-seven trillion, three hundred forty-seven billion, three hundred forty-two million, one hundred sixty thousand, four hundred".