90139929868800 has 2880 divisors, whose sum is σ = 407493275904000. Its totient is φ = 18553073172480.

The previous prime is 90139929868783. The next prime is 90139929868829. The reversal of 90139929868800 is 886892993109.

It is a happy number.

90139929868800 is a `hidden beast` number, since 90 + 1 + 399 + 2 + 98 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63079026486 + ... + 63079027914.

It is an arithmetic number, because the mean of its divisors is an integer number (141490720800).

Almost surely, 2^{90139929868800} is an apocalyptic number.

90139929868800 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 90139929868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203746637952000).

90139929868800 is an abundant number, since it is smaller than the sum of its proper divisors (317353346035200).

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

90139929868800 is a wasteful number, since it uses less digits than its factorization.

90139929868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 90139929868800 in words is "ninety trillion, one hundred thirty-nine billion, nine hundred twenty-nine million, eight hundred sixty-eight thousand, eight hundred".