1023001964820 has 96 divisors (see below), whose sum is σ = 3472006688640. Its totient is φ = 248000474880.

The previous prime is 1023001964819. The next prime is 1023001964821. The reversal of 1023001964820 is 284691003201.

1023001964820 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 0 + 1 + 9 + 648 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1023001964819) and next prime (1023001964821).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023001964821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86105337 + ... + 86117216.

It is an arithmetic number, because the mean of its divisors is an integer number (36166736340).

Almost surely, 2^{1023001964820} is an apocalyptic number.

1023001964820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023001964820 is an abundant number, since it is smaller than the sum of its proper divisors (2449004723820).

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

1023001964820 is a wasteful number, since it uses less digits than its factorization.

1023001964820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172222582 (or 172222574 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1023001964820 in words is "one trillion, twenty-three billion, one million, nine hundred sixty-four thousand, eight hundred twenty".