90135501926400 has 1560 divisors, whose sum is σ = 401669220036480. Its totient is φ = 19517824696320.

The previous prime is 90135501926389. The next prime is 90135501926401. The reversal of 90135501926400 is 462910553109.

90135501926400 is a `hidden beast` number, since 9 + 0 + 1 + 3 + 5 + 50 + 192 + 6 + 400 = 666.

It is a super-2 number, since 2×90135501926400² (a number of 29 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 (90135501926401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1103114347 + ... + 1103196053.

Almost surely, 2^{90135501926400} is an apocalyptic number.

90135501926400 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 90135501926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200834610018240).

90135501926400 is an abundant number, since it is smaller than the sum of its proper divisors (311533718110080).

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

90135501926400 is a wasteful number, since it uses less digits than its factorization.

90135501926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81779 (or 81743 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 90135501926400 in words is "ninety trillion, one hundred thirty-five billion, five hundred one million, nine hundred twenty-six thousand, four hundred".