90405254016 has 1152 divisors, whose sum is σ = 355537728000. Its totient is φ = 21737963520.

The previous prime is 90405253999. The next prime is 90405254059. The reversal of 90405254016 is 61045250409.

90405254016 is a `hidden beast` number, since 90 + 4 + 0 + 525 + 40 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 932012880 + ... + 932012976.

It is an arithmetic number, because the mean of its divisors is an integer number (308626500).

Almost surely, 2^90405254016 is an apocalyptic number.

90405254016 is a gapful number since it is divisible by the number (96) 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 90405254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177768864000).

90405254016 is an abundant number, since it is smaller than the sum of its proper divisors (265132473984).

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

90405254016 is a wasteful number, since it uses less digits than its factorization.

90405254016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 90405254016 in words is "ninety billion, four hundred five million, two hundred fifty-four thousand, sixteen".