90610625064906 has 128 divisors (see below), whose sum is σ = 212224884480000. Its totient is φ = 28577420524800.

The previous prime is 90610625064871. The next prime is 90610625064929. The reversal of 90610625064906 is 60946052601609.

90610625064906 is a `hidden beast` number, since 9 + 0 + 6 + 1 + 0 + 625 + 0 + 6 + 4 + 9 + 0 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 4409051331 + ... + 4409071881.

It is an arithmetic number, because the mean of its divisors is an integer number (1658006910000).

Almost surely, 2^{90610625064906} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90610625064906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106112442240000).

90610625064906 is an abundant number, since it is smaller than the sum of its proper divisors (121614259415094).

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

90610625064906 is a wasteful number, since it uses less digits than its factorization.

90610625064906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25849 (or 25843 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 90610625064906 in words is "ninety trillion, six hundred ten billion, six hundred twenty-five million, sixty-four thousand, nine hundred six".