901011513780 has 576 divisors, whose sum is σ = 3439932088320. Its totient is φ = 186288076800.

The previous prime is 901011513769. The next prime is 901011513851. The reversal of 901011513780 is 87315110109.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46122615 + ... + 46142145.

It is an arithmetic number, because the mean of its divisors is an integer number (5972104320).

Almost surely, 2^901011513780 is an apocalyptic number.

901011513780 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 901011513780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719966044160).

901011513780 is an abundant number, since it is smaller than the sum of its proper divisors (2538920574540).

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

901011513780 is a wasteful number, since it uses less digits than its factorization.

901011513780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19660 (or 19655 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

Adding to 901011513780 its reverse (87315110109), we get a palindrome (988326623889).

The spelling of 901011513780 in words is "nine hundred one billion, eleven million, five hundred thirteen thousand, seven hundred eighty".