1051400088000 has 560 divisors, whose sum is σ = 4118459757984. Its totient is φ = 263878041600.

The previous prime is 1051400087999. The next prime is 1051400088043. The reversal of 1051400088000 is 8800041501.

It is a super-2 number, since 2×1051400088000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10968279 + ... + 11063721.

Almost surely, 2^{1051400088000} is an apocalyptic number.

1051400088000 is a gapful number since it is divisible by the number (10) 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 1051400088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059229878992).

1051400088000 is an abundant number, since it is smaller than the sum of its proper divisors (3067059669984).

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

1051400088000 is an equidigital number, since it uses as much as digits as its factorization.

1051400088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95499 (or 95470 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 1051400088000 in words is "one trillion, fifty-one billion, four hundred million, eighty-eight thousand".