90260622950400 has 3780 divisors, whose sum is σ = 405017106412800. Its totient is φ = 19865154355200.

The previous prime is 90260622950383. The next prime is 90260622950417. The reversal of 90260622950400 is 405922606209.

90260622950400 is a `hidden beast` number, since 9 + 0 + 2 + 60 + 62 + 29 + 504 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90260622950383) and next prime (90260622950417).

It is a tau number, because it is divible by the number of its divisors (3780).

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 453570969501 + ... + 453570969699.

Almost surely, 2^{90260622950400} is an apocalyptic number.

90260622950400 is a gapful number since it is divisible by the number (90) 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 90260622950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202508553206400).

90260622950400 is an abundant number, since it is smaller than the sum of its proper divisors (314756483462400).

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

90260622950400 is an equidigital number, since it uses as much as digits as its factorization.

90260622950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 90260622950400 in words is "ninety trillion, two hundred sixty billion, six hundred twenty-two million, nine hundred fifty thousand, four hundred".