90378485697600 has 567 divisors, whose sum is σ = 323574947301567. Its totient is φ = 23926005135360.

The previous prime is 90378485697589. The next prime is 90378485697601. The reversal of 90378485697600 is 679658487309.

The square root of 90378485697600 is 9506760.

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

90378485697600 is a `hidden beast` number, since 9 + 0 + 3 + 7 + 8 + 4 + 8 + 5 + 6 + 9 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 929866775616 + 89448618921984 = 964296^2 + 9457728^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (90378485697601) 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, 258964142226 + ... + 258964142574.

Almost surely, 2^{90378485697600} is an apocalyptic number.

90378485697600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90378485697600 is the 9506760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90378485697600

90378485697600 is an abundant number, since it is smaller than the sum of its proper divisors (233196461603967).

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

90378485697600 is an equidigital number, since it uses as much as digits as its factorization.

90378485697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 90378485697600 in words is "ninety trillion, three hundred seventy-eight billion, four hundred eighty-five million, six hundred ninety-seven thousand, six hundred".