90526565606400 has 4224 divisors, whose sum is σ = 426684461875200. Its totient is φ = 18265463193600.

The previous prime is 90526565606383. The next prime is 90526565606429. The reversal of 90526565606400 is 460656562509.

It is a happy number.

90526565606400 is a `hidden beast` number, since 9 + 0 + 5 + 26 + 5 + 6 + 5 + 606 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 398795443087 + ... + 398795443313.

Almost surely, 2^{90526565606400} is an apocalyptic number.

90526565606400 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 90526565606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213342230937600).

90526565606400 is an abundant number, since it is smaller than the sum of its proper divisors (336157896268800).

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

90526565606400 is a wasteful number, since it uses less digits than its factorization.

90526565606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 90526565606400 in words is "ninety trillion, five hundred twenty-six billion, five hundred sixty-five million, six hundred six thousand, four hundred".