90835781400 has 2304 divisors, whose sum is σ = 436772044800. Its totient is φ = 16997713920.

The previous prime is 90835781363. The next prime is 90835781401. The reversal of 90835781400 is 418753809.

90835781400 is a `hidden beast` number, since 90 + 83 + 5 + 7 + 81 + 400 = 666.

It is a super-2 number, since 2×90835781400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90835781401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1932676177 + ... + 1932676223.

It is an arithmetic number, because the mean of its divisors is an integer number (189571200).

Almost surely, 2^90835781400 is an apocalyptic number.

90835781400 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 90835781400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218386022400).

90835781400 is an abundant number, since it is smaller than the sum of its proper divisors (345936263400).

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

90835781400 is a wasteful number, since it uses less digits than its factorization.

90835781400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 90835781400 in words is "ninety billion, eight hundred thirty-five million, seven hundred eighty-one thousand, four hundred".