1025450078688 has 384 divisors, whose sum is σ = 3639297392640. Its totient is φ = 274222817280.

The previous prime is 1025450078677. The next prime is 1025450078693. The reversal of 1025450078688 is 8868700545201.

1025450078688 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 4 + 500 + 78 + 68 + 8 = 666.

1025450078688 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1025450078688⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18582145 + ... + 18637247.

It is an arithmetic number, because the mean of its divisors is an integer number (9477336960).

Almost surely, 2^{1025450078688} is an apocalyptic number.

1025450078688 is a gapful number since it is divisible by the number (18) 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 1025450078688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819648696320).

1025450078688 is an abundant number, since it is smaller than the sum of its proper divisors (2613847313952).

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

1025450078688 is a wasteful number, since it uses less digits than its factorization.

1025450078688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55327 (or 55313 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 1025450078688 in words is "one trillion, twenty-five billion, four hundred fifty million, seventy-eight thousand, six hundred eighty-eight".