107025408000 has 1344 divisors, whose sum is σ = 466168435200. Its totient is φ = 24153292800.

The previous prime is 107025407987. The next prime is 107025408031. The reversal of 107025408000 is 804520701.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×107025408000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1354751961 + ... + 1354752039.

Almost surely, 2^107025408000 is an apocalyptic number.

107025408000 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 107025408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233084217600).

107025408000 is an abundant number, since it is smaller than the sum of its proper divisors (359143027200).

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

107025408000 is an frugal number, since it uses more digits than its factorization.

107025408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 107025408000 its reverse (804520701), we get a palindrome (107829928701).

The spelling of 107025408000 in words is "one hundred seven billion, twenty-five million, four hundred eight thousand".