97768883520 has 896 divisors, whose sum is σ = 432942796800. Its totient is φ = 20177510400.

The previous prime is 97768883503. The next prime is 97768883561. The reversal of 97768883520 is 2538886779.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119084710 + ... + 119085530.

Almost surely, 2^97768883520 is an apocalyptic number.

97768883520 is a gapful number since it is divisible by the number (90) 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 97768883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216471398400).

97768883520 is an abundant number, since it is smaller than the sum of its proper divisors (335173913280).

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

97768883520 is a wasteful number, since it uses less digits than its factorization.

97768883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

It can be divided in two parts, 977688 and 83520, that added together give a cube (1061208 = 102³).

The spelling of 97768883520 in words is "ninety-seven billion, seven hundred sixty-eight million, eight hundred eighty-three thousand, five hundred twenty".