901026151200 has 540 divisors, whose sum is σ = 3706634607858. Its totient is φ = 205944883200.

The previous prime is 901026151189. The next prime is 901026151211. The reversal of 901026151200 is 2151620109.

901026151200 is a `hidden beast` number, since 90 + 1 + 0 + 2 + 61 + 512 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (901026151189) and next prime (901026151211).

It can be written as a sum of positive squares in 3 ways, for example, as 756294601104 + 144731550096 = 869652^2 + 380436^2 .

It is a super-2 number, since 2×901026151200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 17261140 + ... + 17313260.

Almost surely, 2^901026151200 is an apocalyptic number.

901026151200 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 901026151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853317303929).

901026151200 is an abundant number, since it is smaller than the sum of its proper divisors (2805608456658).

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

901026151200 is a wasteful number, since it uses less digits than its factorization.

901026151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52175 (or 52138 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 901026151200 its reverse (2151620109), we get a palindrome (903177771309).

The spelling of 901026151200 in words is "nine hundred one billion, twenty-six million, one hundred fifty-one thousand, two hundred".