90260572147200 has 3600 divisors, whose sum is σ = 440581257713520. Its totient is φ = 18039165419520.

The previous prime is 90260572147159. The next prime is 90260572147223. The reversal of 90260572147200 is 274127506209.

90260572147200 is a `hidden beast` number, since 9 + 0 + 2 + 6 + 0 + 572 + 1 + 4 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 12548386804 + ... + 12548393996.

Almost surely, 2^{90260572147200} is an apocalyptic number.

90260572147200 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 90260572147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220290628856760).

90260572147200 is an abundant number, since it is smaller than the sum of its proper divisors (350320685566320).

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

90260572147200 is a wasteful number, since it uses less digits than its factorization.

90260572147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7279 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 90260572147200 in words is "ninety trillion, two hundred sixty billion, five hundred seventy-two million, one hundred forty-seven thousand, two hundred".