1002578556672 has 1152 divisors, whose sum is σ = 4049827891200. Its totient is φ = 236578406400.

The previous prime is 1002578556647. The next prime is 1002578556697. The reversal of 1002578556672 is 2766558752001.

1002578556672 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 7 + 8 + 5 + 566 + 72 = 666.

1002578556672 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 (1002578556647) and next prime (1002578556697).

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 262384522 + ... + 262388342.

It is an arithmetic number, because the mean of its divisors is an integer number (3515475600).

Almost surely, 2^{1002578556672} is an apocalyptic number.

1002578556672 is a gapful number since it is divisible by the number (12) 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 1002578556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024913945600).

1002578556672 is an abundant number, since it is smaller than the sum of its proper divisors (3047249334528).

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

1002578556672 is a wasteful number, since it uses less digits than its factorization.

1002578556672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 1002578556672 in words is "one trillion, two billion, five hundred seventy-eight million, five hundred fifty-six thousand, six hundred seventy-two".