1022625838080 has 1408 divisors, whose sum is σ = 4729116303360. Its totient is φ = 203206164480.

The previous prime is 1022625838079. The next prime is 1022625838081. The reversal of 1022625838080 is 808385262201.

1022625838080 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 62 + 583 + 8 + 0 + 8 + 0 = 666.

1022625838080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1022625838079) and next prime (1022625838081).

It is a tau number, because it is divible by the number of its divisors (1408).

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 (1022625838081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244820952 + ... + 244825128.

Almost surely, 2^{1022625838080} is an apocalyptic number.

1022625838080 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 1022625838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364558151680).

1022625838080 is an abundant number, since it is smaller than the sum of its proper divisors (3706490465280).

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

1022625838080 is a wasteful number, since it uses less digits than its factorization.

1022625838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1022625838080 in words is "one trillion, twenty-two billion, six hundred twenty-five million, eight hundred thirty-eight thousand, eighty".