90077437238784 has 160 divisors (see below), whose sum is σ = 254096901400320. Its totient is φ = 28258589048832.

The previous prime is 90077437238779. The next prime is 90077437238797. The reversal of 90077437238784 is 48783273477009.

It is a super-2 number, since 2×90077437238784² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164008157 + ... + 1164085539.

It is an arithmetic number, because the mean of its divisors is an integer number (1588105633752).

Almost surely, 2^{90077437238784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90077437238784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127048450700160).

90077437238784 is an abundant number, since it is smaller than the sum of its proper divisors (164019464161536).

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

90077437238784 is a wasteful number, since it uses less digits than its factorization.

90077437238784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122000 (or 121984 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 69.

The spelling of 90077437238784 in words is "ninety trillion, seventy-seven billion, four hundred thirty-seven million, two hundred thirty-eight thousand, seven hundred eighty-four".